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Finding the Fourth Proportional to 52,125.50, 71,932.78 and 28,251.56

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Solution

The fourth proportional to 52,125.50, 71,932.78 and 28,251.56 is: 38,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.50 : 71,932.78 = 28,251.56 : x
  2. Step 2: Convert to fraction form
    52,125.50/71,932.78 = 28,251.56/x
  3. Step 3: Cross multiply
    52,125.50x = 71,932.78 × 28,251.56
  4. Step 4: Simplify right side
    52,125.50x = 2,032,213,250.14
  5. Step 5: Solve for x
    x = 2,032,213,250.14/52,125.50
  6. Step 6: Final answer
    x = 38,986.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.