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Finding the Fourth Proportional to 31,711.50, 47,565.43 and 9,524.39

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Solution

The fourth proportional to 31,711.50, 47,565.43 and 9,524.39 is: 14,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.50 : 47,565.43 = 9,524.39 : x
  2. Step 2: Convert to fraction form
    31,711.50/47,565.43 = 9,524.39/x
  3. Step 3: Cross multiply
    31,711.50x = 47,565.43 × 9,524.39
  4. Step 4: Simplify right side
    31,711.50x = 453,031,444.20
  5. Step 5: Solve for x
    x = 453,031,444.20/31,711.50
  6. Step 6: Final answer
    x = 14,286.03

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Why These Related Problems?

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