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Finding the Fourth Proportional to 49,243.87, 67,948.63 and 28,023.49

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Solution

The fourth proportional to 49,243.87, 67,948.63 and 28,023.49 is: 38,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,243.87 : 67,948.63 = 28,023.49 : x
  2. Step 2: Convert to fraction form
    49,243.87/67,948.63 = 28,023.49/x
  3. Step 3: Cross multiply
    49,243.87x = 67,948.63 × 28,023.49
  4. Step 4: Simplify right side
    49,243.87x = 1,904,157,753.32
  5. Step 5: Solve for x
    x = 1,904,157,753.32/49,243.87
  6. Step 6: Final answer
    x = 38,667.91

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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.