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Finding the Fourth Proportional to 52,470.96, 78,721.08 and 22,891.44

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Solution

The fourth proportional to 52,470.96, 78,721.08 and 22,891.44 is: 34,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.96 : 78,721.08 = 22,891.44 : x
  2. Step 2: Convert to fraction form
    52,470.96/78,721.08 = 22,891.44/x
  3. Step 3: Cross multiply
    52,470.96x = 78,721.08 × 22,891.44
  4. Step 4: Simplify right side
    52,470.96x = 1,802,038,879.56
  5. Step 5: Solve for x
    x = 1,802,038,879.56/52,470.96
  6. Step 6: Final answer
    x = 34,343.55

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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.