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Finding the Fourth Proportional to 39,689.28, 54,770.32 and 21,784.16

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Solution

The fourth proportional to 39,689.28, 54,770.32 and 21,784.16 is: 30,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,689.28 : 54,770.32 = 21,784.16 : x
  2. Step 2: Convert to fraction form
    39,689.28/54,770.32 = 21,784.16/x
  3. Step 3: Cross multiply
    39,689.28x = 54,770.32 × 21,784.16
  4. Step 4: Simplify right side
    39,689.28x = 1,193,125,414.13
  5. Step 5: Solve for x
    x = 1,193,125,414.13/39,689.28
  6. Step 6: Final answer
    x = 30,061.65

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