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Finding the Fourth Proportional to 31,900.68, 44,022.50 and 17,753.52

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Solution

The fourth proportional to 31,900.68, 44,022.50 and 17,753.52 is: 24,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.68 : 44,022.50 = 17,753.52 : x
  2. Step 2: Convert to fraction form
    31,900.68/44,022.50 = 17,753.52/x
  3. Step 3: Cross multiply
    31,900.68x = 44,022.50 × 17,753.52
  4. Step 4: Simplify right side
    31,900.68x = 781,554,289.82
  5. Step 5: Solve for x
    x = 781,554,289.82/31,900.68
  6. Step 6: Final answer
    x = 24,499.62

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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.