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Finding the Fourth Proportional to 32,853.67, 45,338.03 and 17,746.32

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Solution

The fourth proportional to 32,853.67, 45,338.03 and 17,746.32 is: 24,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.67 : 45,338.03 = 17,746.32 : x
  2. Step 2: Convert to fraction form
    32,853.67/45,338.03 = 17,746.32/x
  3. Step 3: Cross multiply
    32,853.67x = 45,338.03 × 17,746.32
  4. Step 4: Simplify right side
    32,853.67x = 804,583,336.38
  5. Step 5: Solve for x
    x = 804,583,336.38/32,853.67
  6. Step 6: Final answer
    x = 24,489.91

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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.