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Finding the Fourth Proportional to 71,190.10, 106,754.16 and 37,902.74

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Solution

The fourth proportional to 71,190.10, 106,754.16 and 37,902.74 is: 56,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,190.10 : 106,754.16 = 37,902.74 : x
  2. Step 2: Convert to fraction form
    71,190.10/106,754.16 = 37,902.74/x
  3. Step 3: Cross multiply
    71,190.10x = 106,754.16 × 37,902.74
  4. Step 4: Simplify right side
    71,190.10x = 4,046,275,170.40
  5. Step 5: Solve for x
    x = 4,046,275,170.40/71,190.10
  6. Step 6: Final answer
    x = 56,837.61

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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.