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Finding the Fourth Proportional to 73,251.36, 109,850.76 and 31,675.68

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Solution

The fourth proportional to 73,251.36, 109,850.76 and 31,675.68 is: 47,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,251.36 : 109,850.76 = 31,675.68 : x
  2. Step 2: Convert to fraction form
    73,251.36/109,850.76 = 31,675.68/x
  3. Step 3: Cross multiply
    73,251.36x = 109,850.76 × 31,675.68
  4. Step 4: Simplify right side
    73,251.36x = 3,479,597,521.52
  5. Step 5: Solve for x
    x = 3,479,597,521.52/73,251.36
  6. Step 6: Final answer
    x = 47,502.16

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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.