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Finding the Fourth Proportional to 83,174.60, 124,797.64 and 27,031.92

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Solution

The fourth proportional to 83,174.60, 124,797.64 and 27,031.92 is: 40,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,174.60 : 124,797.64 = 27,031.92 : x
  2. Step 2: Convert to fraction form
    83,174.60/124,797.64 = 27,031.92/x
  3. Step 3: Cross multiply
    83,174.60x = 124,797.64 × 27,031.92
  4. Step 4: Simplify right side
    83,174.60x = 3,373,519,820.67
  5. Step 5: Solve for x
    x = 3,373,519,820.67/83,174.60
  6. Step 6: Final answer
    x = 40,559.50

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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.