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Finding the Fourth Proportional to 71,161.88, 106,749.30 and 36,092.12

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Solution

The fourth proportional to 71,161.88, 106,749.30 and 36,092.12 is: 54,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161.88 : 106,749.30 = 36,092.12 : x
  2. Step 2: Convert to fraction form
    71,161.88/106,749.30 = 36,092.12/x
  3. Step 3: Cross multiply
    71,161.88x = 106,749.30 × 36,092.12
  4. Step 4: Simplify right side
    71,161.88x = 3,852,808,545.52
  5. Step 5: Solve for x
    x = 3,852,808,545.52/71,161.88
  6. Step 6: Final answer
    x = 54,141.47

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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.