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Finding the Fourth Proportional to 75,134.82, 103,686.22 and 40,679.92

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Solution

The fourth proportional to 75,134.82, 103,686.22 and 40,679.92 is: 56,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134.82 : 103,686.22 = 40,679.92 : x
  2. Step 2: Convert to fraction form
    75,134.82/103,686.22 = 40,679.92/x
  3. Step 3: Cross multiply
    75,134.82x = 103,686.22 × 40,679.92
  4. Step 4: Simplify right side
    75,134.82x = 4,217,947,134.70
  5. Step 5: Solve for x
    x = 4,217,947,134.70/75,134.82
  6. Step 6: Final answer
    x = 56,138.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.