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Finding the Fourth Proportional to 70,974.20, 97,960.92 and 47,101.88

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Solution

The fourth proportional to 70,974.20, 97,960.92 and 47,101.88 is: 65,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974.20 : 97,960.92 = 47,101.88 : x
  2. Step 2: Convert to fraction form
    70,974.20/97,960.92 = 47,101.88/x
  3. Step 3: Cross multiply
    70,974.20x = 97,960.92 × 47,101.88
  4. Step 4: Simplify right side
    70,974.20x = 4,614,143,498.53
  5. Step 5: Solve for x
    x = 4,614,143,498.53/70,974.20
  6. Step 6: Final answer
    x = 65,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.