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Finding the Fourth Proportional to 75,545.50, 104,255.08 and 41,552.24

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Solution

The fourth proportional to 75,545.50, 104,255.08 and 41,552.24 is: 57,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,545.50 : 104,255.08 = 41,552.24 : x
  2. Step 2: Convert to fraction form
    75,545.50/104,255.08 = 41,552.24/x
  3. Step 3: Cross multiply
    75,545.50x = 104,255.08 × 41,552.24
  4. Step 4: Simplify right side
    75,545.50x = 4,332,032,105.38
  5. Step 5: Solve for x
    x = 4,332,032,105.38/75,545.50
  6. Step 6: Final answer
    x = 57,343.35

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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.