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Finding the Fourth Proportional to 31,898.14, 44,018.32 and 17,557.90

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Solution

The fourth proportional to 31,898.14, 44,018.32 and 17,557.90 is: 24,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.14 : 44,018.32 = 17,557.90 : x
  2. Step 2: Convert to fraction form
    31,898.14/44,018.32 = 17,557.90/x
  3. Step 3: Cross multiply
    31,898.14x = 44,018.32 × 17,557.90
  4. Step 4: Simplify right side
    31,898.14x = 772,869,260.73
  5. Step 5: Solve for x
    x = 772,869,260.73/31,898.14
  6. Step 6: Final answer
    x = 24,229.29

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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.