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Finding the Fourth Proportional to 72,286.62, 108,409.13 and 24,899.80

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Solution

The fourth proportional to 72,286.62, 108,409.13 and 24,899.80 is: 37,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286.62 : 108,409.13 = 24,899.80 : x
  2. Step 2: Convert to fraction form
    72,286.62/108,409.13 = 24,899.80/x
  3. Step 3: Cross multiply
    72,286.62x = 108,409.13 × 24,899.80
  4. Step 4: Simplify right side
    72,286.62x = 2,699,365,462.92
  5. Step 5: Solve for x
    x = 2,699,365,462.92/72,286.62
  6. Step 6: Final answer
    x = 37,342.53

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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.