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Finding the Fourth Proportional to 70,792.56, 106,189.68 and 24,049.08

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Solution

The fourth proportional to 70,792.56, 106,189.68 and 24,049.08 is: 36,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,792.56 : 106,189.68 = 24,049.08 : x
  2. Step 2: Convert to fraction form
    70,792.56/106,189.68 = 24,049.08/x
  3. Step 3: Cross multiply
    70,792.56x = 106,189.68 × 24,049.08
  4. Step 4: Simplify right side
    70,792.56x = 2,553,764,109.49
  5. Step 5: Solve for x
    x = 2,553,764,109.49/70,792.56
  6. Step 6: Final answer
    x = 36,073.91

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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.