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Finding the Fourth Proportional to 31,757.38, 47,644.02 and 9,570.28

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Solution

The fourth proportional to 31,757.38, 47,644.02 and 9,570.28 is: 14,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.38 : 47,644.02 = 9,570.28 : x
  2. Step 2: Convert to fraction form
    31,757.38/47,644.02 = 9,570.28/x
  3. Step 3: Cross multiply
    31,757.38x = 47,644.02 × 9,570.28
  4. Step 4: Simplify right side
    31,757.38x = 455,966,611.73
  5. Step 5: Solve for x
    x = 455,966,611.73/31,757.38
  6. Step 6: Final answer
    x = 14,357.82

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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.