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Finding the Fourth Proportional to 72,175.97, 108,233.01 and 24,795.83

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Solution

The fourth proportional to 72,175.97, 108,233.01 and 24,795.83 is: 37,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175.97 : 108,233.01 = 24,795.83 : x
  2. Step 2: Convert to fraction form
    72,175.97/108,233.01 = 24,795.83/x
  3. Step 3: Cross multiply
    72,175.97x = 108,233.01 × 24,795.83
  4. Step 4: Simplify right side
    72,175.97x = 2,683,727,586.93
  5. Step 5: Solve for x
    x = 2,683,727,586.93/72,175.97
  6. Step 6: Final answer
    x = 37,183.12

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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.