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Finding the Fourth Proportional to 70,988.94, 106,508.52 and 31,542.48

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Solution

The fourth proportional to 70,988.94, 106,508.52 and 31,542.48 is: 47,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,988.94 : 106,508.52 = 31,542.48 : x
  2. Step 2: Convert to fraction form
    70,988.94/106,508.52 = 31,542.48/x
  3. Step 3: Cross multiply
    70,988.94x = 106,508.52 × 31,542.48
  4. Step 4: Simplify right side
    70,988.94x = 3,359,542,861.93
  5. Step 5: Solve for x
    x = 3,359,542,861.93/70,988.94
  6. Step 6: Final answer
    x = 47,324.88

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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.