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Finding the Fourth Proportional to 92,275.46, 138,363.97 and 47,791.88

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Solution

The fourth proportional to 92,275.46, 138,363.97 and 47,791.88 is: 71,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,275.46 : 138,363.97 = 47,791.88 : x
  2. Step 2: Convert to fraction form
    92,275.46/138,363.97 = 47,791.88/x
  3. Step 3: Cross multiply
    92,275.46x = 138,363.97 × 47,791.88
  4. Step 4: Simplify right side
    92,275.46x = 6,612,674,250.56
  5. Step 5: Solve for x
    x = 6,612,674,250.56/92,275.46
  6. Step 6: Final answer
    x = 71,662.33

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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.