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Finding the Fourth Proportional to 71,902.50, 99,232.86 and 43,231.52

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Solution

The fourth proportional to 71,902.50, 99,232.86 and 43,231.52 is: 59,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.50 : 99,232.86 = 43,231.52 : x
  2. Step 2: Convert to fraction form
    71,902.50/99,232.86 = 43,231.52/x
  3. Step 3: Cross multiply
    71,902.50x = 99,232.86 × 43,231.52
  4. Step 4: Simplify right side
    71,902.50x = 4,289,987,371.75
  5. Step 5: Solve for x
    x = 4,289,987,371.75/71,902.50
  6. Step 6: Final answer
    x = 59,663.95

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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.