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Finding the Fourth Proportional to 52,487.98, 78,777.46 and 27,545.65

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Solution

The fourth proportional to 52,487.98, 78,777.46 and 27,545.65 is: 41,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,487.98 : 78,777.46 = 27,545.65 : x
  2. Step 2: Convert to fraction form
    52,487.98/78,777.46 = 27,545.65/x
  3. Step 3: Cross multiply
    52,487.98x = 78,777.46 × 27,545.65
  4. Step 4: Simplify right side
    52,487.98x = 2,169,976,341.05
  5. Step 5: Solve for x
    x = 2,169,976,341.05/52,487.98
  6. Step 6: Final answer
    x = 41,342.35

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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.