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Finding the Fourth Proportional to 75,136.76, 112,698.62 and 45,545.88

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Solution

The fourth proportional to 75,136.76, 112,698.62 and 45,545.88 is: 68,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136.76 : 112,698.62 = 45,545.88 : x
  2. Step 2: Convert to fraction form
    75,136.76/112,698.62 = 45,545.88/x
  3. Step 3: Cross multiply
    75,136.76x = 112,698.62 × 45,545.88
  4. Step 4: Simplify right side
    75,136.76x = 5,132,957,822.69
  5. Step 5: Solve for x
    x = 5,132,957,822.69/75,136.76
  6. Step 6: Final answer
    x = 68,314.87

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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.