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Finding the Fourth Proportional to 67,126.78, 100,471.14 and 49,352.74

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Solution

The fourth proportional to 67,126.78, 100,471.14 and 49,352.74 is: 73,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,126.78 : 100,471.14 = 49,352.74 : x
  2. Step 2: Convert to fraction form
    67,126.78/100,471.14 = 49,352.74/x
  3. Step 3: Cross multiply
    67,126.78x = 100,471.14 × 49,352.74
  4. Step 4: Simplify right side
    67,126.78x = 4,958,526,049.92
  5. Step 5: Solve for x
    x = 4,958,526,049.92/67,126.78
  6. Step 6: Final answer
    x = 73,868.08

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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.