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Finding the Fourth Proportional to 52,077.46, 71,866.92 and 28,204.24

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Solution

The fourth proportional to 52,077.46, 71,866.92 and 28,204.24 is: 38,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.46 : 71,866.92 = 28,204.24 : x
  2. Step 2: Convert to fraction form
    52,077.46/71,866.92 = 28,204.24/x
  3. Step 3: Cross multiply
    52,077.46x = 71,866.92 × 28,204.24
  4. Step 4: Simplify right side
    52,077.46x = 2,026,951,859.74
  5. Step 5: Solve for x
    x = 2,026,951,859.74/52,077.46
  6. Step 6: Final answer
    x = 38,921.86

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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.