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Finding the Fourth Proportional to 31,006.30, 42,788.17 and 16,859.50

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Solution

The fourth proportional to 31,006.30, 42,788.17 and 16,859.50 is: 23,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.30 : 42,788.17 = 16,859.50 : x
  2. Step 2: Convert to fraction form
    31,006.30/42,788.17 = 16,859.50/x
  3. Step 3: Cross multiply
    31,006.30x = 42,788.17 × 16,859.50
  4. Step 4: Simplify right side
    31,006.30x = 721,387,152.12
  5. Step 5: Solve for x
    x = 721,387,152.12/31,006.30
  6. Step 6: Final answer
    x = 23,265.83

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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.