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Finding the Fourth Proportional to 31,711.56, 47,575.62 and 9,524.40

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Solution

The fourth proportional to 31,711.56, 47,575.62 and 9,524.40 is: 14,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.56 : 47,575.62 = 9,524.40 : x
  2. Step 2: Convert to fraction form
    31,711.56/47,575.62 = 9,524.40/x
  3. Step 3: Cross multiply
    31,711.56x = 47,575.62 × 9,524.40
  4. Step 4: Simplify right side
    31,711.56x = 453,129,235.13
  5. Step 5: Solve for x
    x = 453,129,235.13/31,711.56
  6. Step 6: Final answer
    x = 14,289.09

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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.