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Finding the Fourth Proportional to 67,114.31, 100,452.41 and 49,340.27

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Solution

The fourth proportional to 67,114.31, 100,452.41 and 49,340.27 is: 73,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,114.31 : 100,452.41 = 49,340.27 : x
  2. Step 2: Convert to fraction form
    67,114.31/100,452.41 = 49,340.27/x
  3. Step 3: Cross multiply
    67,114.31x = 100,452.41 × 49,340.27
  4. Step 4: Simplify right side
    67,114.31x = 4,956,348,529.29
  5. Step 5: Solve for x
    x = 4,956,348,529.29/67,114.31
  6. Step 6: Final answer
    x = 73,849.36

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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.