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Finding the Fourth Proportional to 71,219.52, 106,911.77 and 41,658.57

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Solution

The fourth proportional to 71,219.52, 106,911.77 and 41,658.57 is: 62,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,219.52 : 106,911.77 = 41,658.57 : x
  2. Step 2: Convert to fraction form
    71,219.52/106,911.77 = 41,658.57/x
  3. Step 3: Cross multiply
    71,219.52x = 106,911.77 × 41,658.57
  4. Step 4: Simplify right side
    71,219.52x = 4,453,791,246.08
  5. Step 5: Solve for x
    x = 4,453,791,246.08/71,219.52
  6. Step 6: Final answer
    x = 62,536.10

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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.