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Finding the Fourth Proportional to 37,845, 56,766.42 and 11,545.92

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Solution

The fourth proportional to 37,845, 56,766.42 and 11,545.92 is: 17,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,845 : 56,766.42 = 11,545.92 : x
  2. Step 2: Convert to fraction form
    37,845/56,766.42 = 11,545.92/x
  3. Step 3: Cross multiply
    37,845x = 56,766.42 × 11,545.92
  4. Step 4: Simplify right side
    37,845x = 655,420,544.01
  5. Step 5: Solve for x
    x = 655,420,544.01/37,845
  6. Step 6: Final answer
    x = 17,318.55

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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.