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Finding the Fourth Proportional to 70,824.87, 106,203.42 and 41,251.14

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Solution

The fourth proportional to 70,824.87, 106,203.42 and 41,251.14 is: 61,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824.87 : 106,203.42 = 41,251.14 : x
  2. Step 2: Convert to fraction form
    70,824.87/106,203.42 = 41,251.14/x
  3. Step 3: Cross multiply
    70,824.87x = 106,203.42 × 41,251.14
  4. Step 4: Simplify right side
    70,824.87x = 4,381,012,146.90
  5. Step 5: Solve for x
    x = 4,381,012,146.90/70,824.87
  6. Step 6: Final answer
    x = 61,856.97

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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.