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Finding the Fourth Proportional to 31,933.66, 47,900.49 and 9,747.15

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Solution

The fourth proportional to 31,933.66, 47,900.49 and 9,747.15 is: 14,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933.66 : 47,900.49 = 9,747.15 : x
  2. Step 2: Convert to fraction form
    31,933.66/47,900.49 = 9,747.15/x
  3. Step 3: Cross multiply
    31,933.66x = 47,900.49 × 9,747.15
  4. Step 4: Simplify right side
    31,933.66x = 466,893,261.10
  5. Step 5: Solve for x
    x = 466,893,261.10/31,933.66
  6. Step 6: Final answer
    x = 14,620.73

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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.