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Finding the Fourth Proportional to 69,733.76, 96,233.57 and 37,902.66

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Solution

The fourth proportional to 69,733.76, 96,233.57 and 37,902.66 is: 52,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,733.76 : 96,233.57 = 37,902.66 : x
  2. Step 2: Convert to fraction form
    69,733.76/96,233.57 = 37,902.66/x
  3. Step 3: Cross multiply
    69,733.76x = 96,233.57 × 37,902.66
  4. Step 4: Simplify right side
    69,733.76x = 3,647,508,284.30
  5. Step 5: Solve for x
    x = 3,647,508,284.30/69,733.76
  6. Step 6: Final answer
    x = 52,306.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.