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Finding the Fourth Proportional to 71,164.26, 106,742.54 and 36,103.01

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Solution

The fourth proportional to 71,164.26, 106,742.54 and 36,103.01 is: 54,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.26 : 106,742.54 = 36,103.01 : x
  2. Step 2: Convert to fraction form
    71,164.26/106,742.54 = 36,103.01/x
  3. Step 3: Cross multiply
    71,164.26x = 106,742.54 × 36,103.01
  4. Step 4: Simplify right side
    71,164.26x = 3,853,726,545.59
  5. Step 5: Solve for x
    x = 3,853,726,545.59/71,164.26
  6. Step 6: Final answer
    x = 54,152.56

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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.