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Finding the Fourth Proportional to 32,217, 44,460.84 and 20,124.60

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Solution

The fourth proportional to 32,217, 44,460.84 and 20,124.60 is: 27,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217 : 44,460.84 = 20,124.60 : x
  2. Step 2: Convert to fraction form
    32,217/44,460.84 = 20,124.60/x
  3. Step 3: Cross multiply
    32,217x = 44,460.84 × 20,124.60
  4. Step 4: Simplify right side
    32,217x = 894,756,620.66
  5. Step 5: Solve for x
    x = 894,756,620.66/32,217
  6. Step 6: Final answer
    x = 27,772.81

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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.