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Finding the Fourth Proportional to 75,462.80, 104,132.57 and 43,633.76

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Solution

The fourth proportional to 75,462.80, 104,132.57 and 43,633.76 is: 60,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462.80 : 104,132.57 = 43,633.76 : x
  2. Step 2: Convert to fraction form
    75,462.80/104,132.57 = 43,633.76/x
  3. Step 3: Cross multiply
    75,462.80x = 104,132.57 × 43,633.76
  4. Step 4: Simplify right side
    75,462.80x = 4,543,694,828.73
  5. Step 5: Solve for x
    x = 4,543,694,828.73/75,462.80
  6. Step 6: Final answer
    x = 60,211.06

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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.