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Finding the Fourth Proportional to 67,238.87, 100,829.13 and 22,853.70

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Solution

The fourth proportional to 67,238.87, 100,829.13 and 22,853.70 is: 34,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,238.87 : 100,829.13 = 22,853.70 : x
  2. Step 2: Convert to fraction form
    67,238.87/100,829.13 = 22,853.70/x
  3. Step 3: Cross multiply
    67,238.87x = 100,829.13 × 22,853.70
  4. Step 4: Simplify right side
    67,238.87x = 2,304,318,688.28
  5. Step 5: Solve for x
    x = 2,304,318,688.28/67,238.87
  6. Step 6: Final answer
    x = 34,270.64

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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.