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Finding the Fourth Proportional to 106,545.87, 159,791.13 and 31,648.41

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Solution

The fourth proportional to 106,545.87, 159,791.13 and 31,648.41 is: 47,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,545.87 : 159,791.13 = 31,648.41 : x
  2. Step 2: Convert to fraction form
    106,545.87/159,791.13 = 31,648.41/x
  3. Step 3: Cross multiply
    106,545.87x = 159,791.13 × 31,648.41
  4. Step 4: Simplify right side
    106,545.87x = 5,057,135,196.60
  5. Step 5: Solve for x
    x = 5,057,135,196.60/106,545.87
  6. Step 6: Final answer
    x = 47,464.39

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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.