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Finding the Fourth Proportional to 31,687.92, 47,525.82 and 9,501.30

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Solution

The fourth proportional to 31,687.92, 47,525.82 and 9,501.30 is: 14,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.92 : 47,525.82 = 9,501.30 : x
  2. Step 2: Convert to fraction form
    31,687.92/47,525.82 = 9,501.30/x
  3. Step 3: Cross multiply
    31,687.92x = 47,525.82 × 9,501.30
  4. Step 4: Simplify right side
    31,687.92x = 451,557,073.57
  5. Step 5: Solve for x
    x = 451,557,073.57/31,687.92
  6. Step 6: Final answer
    x = 14,250.13

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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.