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Finding the Fourth Proportional to 71,270.47, 106,874.11 and 37,984.33

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Solution

The fourth proportional to 71,270.47, 106,874.11 and 37,984.33 is: 56,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270.47 : 106,874.11 = 37,984.33 : x
  2. Step 2: Convert to fraction form
    71,270.47/106,874.11 = 37,984.33/x
  3. Step 3: Cross multiply
    71,270.47x = 106,874.11 × 37,984.33
  4. Step 4: Simplify right side
    71,270.47x = 4,059,541,462.70
  5. Step 5: Solve for x
    x = 4,059,541,462.70/71,270.47
  6. Step 6: Final answer
    x = 56,959.66

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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.