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Finding the Fourth Proportional to 56,545.52, 78,022.68 and 36,662

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Solution

The fourth proportional to 56,545.52, 78,022.68 and 36,662 is: 50,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,545.52 : 78,022.68 = 36,662 : x
  2. Step 2: Convert to fraction form
    56,545.52/78,022.68 = 36,662/x
  3. Step 3: Cross multiply
    56,545.52x = 78,022.68 × 36,662
  4. Step 4: Simplify right side
    56,545.52x = 2,860,467,494.16
  5. Step 5: Solve for x
    x = 2,860,467,494.16/56,545.52
  6. Step 6: Final answer
    x = 50,586.99

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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.