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Finding the Fourth Proportional to 52,470.65, 78,711.45 and 22,487.90

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Solution

The fourth proportional to 52,470.65, 78,711.45 and 22,487.90 is: 33,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.65 : 78,711.45 = 22,487.90 : x
  2. Step 2: Convert to fraction form
    52,470.65/78,711.45 = 22,487.90/x
  3. Step 3: Cross multiply
    52,470.65x = 78,711.45 × 22,487.90
  4. Step 4: Simplify right side
    52,470.65x = 1,770,054,738.57
  5. Step 5: Solve for x
    x = 1,770,054,738.57/52,470.65
  6. Step 6: Final answer
    x = 33,734.19

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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.