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Finding the Fourth Proportional to 73,630.68, 110,472.12 and 31,493.04

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Solution

The fourth proportional to 73,630.68, 110,472.12 and 31,493.04 is: 47,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,630.68 : 110,472.12 = 31,493.04 : x
  2. Step 2: Convert to fraction form
    73,630.68/110,472.12 = 31,493.04/x
  3. Step 3: Cross multiply
    73,630.68x = 110,472.12 × 31,493.04
  4. Step 4: Simplify right side
    73,630.68x = 3,479,102,894.04
  5. Step 5: Solve for x
    x = 3,479,102,894.04/73,630.68
  6. Step 6: Final answer
    x = 47,250.72

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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.