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Finding the Fourth Proportional to 31,557.53, 47,344.53 and 11,836.46

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Solution

The fourth proportional to 31,557.53, 47,344.53 and 11,836.46 is: 17,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.53 : 47,344.53 = 11,836.46 : x
  2. Step 2: Convert to fraction form
    31,557.53/47,344.53 = 11,836.46/x
  3. Step 3: Cross multiply
    31,557.53x = 47,344.53 × 11,836.46
  4. Step 4: Simplify right side
    31,557.53x = 560,391,798.31
  5. Step 5: Solve for x
    x = 560,391,798.31/31,557.53
  6. Step 6: Final answer
    x = 17,757.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.