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Finding the Fourth Proportional to 52,020.31, 71,787.84 and 28,147

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Solution

The fourth proportional to 52,020.31, 71,787.84 and 28,147 is: 38,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020.31 : 71,787.84 = 28,147 : x
  2. Step 2: Convert to fraction form
    52,020.31/71,787.84 = 28,147/x
  3. Step 3: Cross multiply
    52,020.31x = 71,787.84 × 28,147
  4. Step 4: Simplify right side
    52,020.31x = 2,020,612,332.48
  5. Step 5: Solve for x
    x = 2,020,612,332.48/52,020.31
  6. Step 6: Final answer
    x = 38,842.76

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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.