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Finding the Fourth Proportional to 57,781.50, 86,672.27 and 16,228.50

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Solution

The fourth proportional to 57,781.50, 86,672.27 and 16,228.50 is: 24,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.50 : 86,672.27 = 16,228.50 : x
  2. Step 2: Convert to fraction form
    57,781.50/86,672.27 = 16,228.50/x
  3. Step 3: Cross multiply
    57,781.50x = 86,672.27 × 16,228.50
  4. Step 4: Simplify right side
    57,781.50x = 1,406,560,933.70
  5. Step 5: Solve for x
    x = 1,406,560,933.70/57,781.50
  6. Step 6: Final answer
    x = 24,342.76

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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.