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Finding the Fourth Proportional to 31,737.70, 47,610.69 and 11,744.47

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Solution

The fourth proportional to 31,737.70, 47,610.69 and 11,744.47 is: 17,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.70 : 47,610.69 = 11,744.47 : x
  2. Step 2: Convert to fraction form
    31,737.70/47,610.69 = 11,744.47/x
  3. Step 3: Cross multiply
    31,737.70x = 47,610.69 × 11,744.47
  4. Step 4: Simplify right side
    31,737.70x = 559,162,320.38
  5. Step 5: Solve for x
    x = 559,162,320.38/31,737.70
  6. Step 6: Final answer
    x = 17,618.24

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1.5x scale

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.