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Finding the Fourth Proportional to 32,098.66, 44,302.28 and 21,506.76

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Solution

The fourth proportional to 32,098.66, 44,302.28 and 21,506.76 is: 29,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.66 : 44,302.28 = 21,506.76 : x
  2. Step 2: Convert to fraction form
    32,098.66/44,302.28 = 21,506.76/x
  3. Step 3: Cross multiply
    32,098.66x = 44,302.28 × 21,506.76
  4. Step 4: Simplify right side
    32,098.66x = 952,798,503.41
  5. Step 5: Solve for x
    x = 952,798,503.41/32,098.66
  6. Step 6: Final answer
    x = 29,683.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.