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Finding the Fourth Proportional to 52,020.56, 71,787.86 and 28,146.71

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Solution

The fourth proportional to 52,020.56, 71,787.86 and 28,146.71 is: 38,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020.56 : 71,787.86 = 28,146.71 : x
  2. Step 2: Convert to fraction form
    52,020.56/71,787.86 = 28,146.71/x
  3. Step 3: Cross multiply
    52,020.56x = 71,787.86 × 28,146.71
  4. Step 4: Simplify right side
    52,020.56x = 2,020,592,147.31
  5. Step 5: Solve for x
    x = 2,020,592,147.31/52,020.56
  6. Step 6: Final answer
    x = 38,842.18

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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.