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Finding the Fourth Proportional to 74,147.52, 111,227.52 and 24,226.80

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Solution

The fourth proportional to 74,147.52, 111,227.52 and 24,226.80 is: 36,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147.52 : 111,227.52 = 24,226.80 : x
  2. Step 2: Convert to fraction form
    74,147.52/111,227.52 = 24,226.80/x
  3. Step 3: Cross multiply
    74,147.52x = 111,227.52 × 24,226.80
  4. Step 4: Simplify right side
    74,147.52x = 2,694,686,881.54
  5. Step 5: Solve for x
    x = 2,694,686,881.54/74,147.52
  6. Step 6: Final answer
    x = 36,342.24

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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.