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Finding the Fourth Proportional to 71,048.97, 106,542.45 and 37,761.03

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Solution

The fourth proportional to 71,048.97, 106,542.45 and 37,761.03 is: 56,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048.97 : 106,542.45 = 37,761.03 : x
  2. Step 2: Convert to fraction form
    71,048.97/106,542.45 = 37,761.03/x
  3. Step 3: Cross multiply
    71,048.97x = 106,542.45 × 37,761.03
  4. Step 4: Simplify right side
    71,048.97x = 4,023,152,650.72
  5. Step 5: Solve for x
    x = 4,023,152,650.72/71,048.97
  6. Step 6: Final answer
    x = 56,625.07

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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.