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Finding the Fourth Proportional to 70,882.56, 106,117.92 and 41,209.92

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Solution

The fourth proportional to 70,882.56, 106,117.92 and 41,209.92 is: 61,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.56 : 106,117.92 = 41,209.92 : x
  2. Step 2: Convert to fraction form
    70,882.56/106,117.92 = 41,209.92/x
  3. Step 3: Cross multiply
    70,882.56x = 106,117.92 × 41,209.92
  4. Step 4: Simplify right side
    70,882.56x = 4,373,110,993.77
  5. Step 5: Solve for x
    x = 4,373,110,993.77/70,882.56
  6. Step 6: Final answer
    x = 61,695.16

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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.