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Finding the Fourth Proportional to 71,249.20, 106,848.60 and 24,491.20

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Solution

The fourth proportional to 71,249.20, 106,848.60 and 24,491.20 is: 36,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,249.20 : 106,848.60 = 24,491.20 : x
  2. Step 2: Convert to fraction form
    71,249.20/106,848.60 = 24,491.20/x
  3. Step 3: Cross multiply
    71,249.20x = 106,848.60 × 24,491.20
  4. Step 4: Simplify right side
    71,249.20x = 2,616,850,432.32
  5. Step 5: Solve for x
    x = 2,616,850,432.32/71,249.20
  6. Step 6: Final answer
    x = 36,728.14

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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.