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Finding the Fourth Proportional to 71,151.48, 106,745.76 and 41,594.52

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Solution

The fourth proportional to 71,151.48, 106,745.76 and 41,594.52 is: 62,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,151.48 : 106,745.76 = 41,594.52 : x
  2. Step 2: Convert to fraction form
    71,151.48/106,745.76 = 41,594.52/x
  3. Step 3: Cross multiply
    71,151.48x = 106,745.76 × 41,594.52
  4. Step 4: Simplify right side
    71,151.48x = 4,440,038,649.24
  5. Step 5: Solve for x
    x = 4,440,038,649.24/71,151.48
  6. Step 6: Final answer
    x = 62,402.62

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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.