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Finding the Fourth Proportional to 61,402.64, 84,729.24 and 34,542.86

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Solution

The fourth proportional to 61,402.64, 84,729.24 and 34,542.86 is: 47,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,402.64 : 84,729.24 = 34,542.86 : x
  2. Step 2: Convert to fraction form
    61,402.64/84,729.24 = 34,542.86/x
  3. Step 3: Cross multiply
    61,402.64x = 84,729.24 × 34,542.86
  4. Step 4: Simplify right side
    61,402.64x = 2,926,790,275.23
  5. Step 5: Solve for x
    x = 2,926,790,275.23/61,402.64
  6. Step 6: Final answer
    x = 47,665.54

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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.