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Finding the Fourth Proportional to 38,243.60, 52,761.42 and 28,195.92

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Solution

The fourth proportional to 38,243.60, 52,761.42 and 28,195.92 is: 38,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243.60 : 52,761.42 = 28,195.92 : x
  2. Step 2: Convert to fraction form
    38,243.60/52,761.42 = 28,195.92/x
  3. Step 3: Cross multiply
    38,243.60x = 52,761.42 × 28,195.92
  4. Step 4: Simplify right side
    38,243.60x = 1,487,656,777.41
  5. Step 5: Solve for x
    x = 1,487,656,777.41/38,243.60
  6. Step 6: Final answer
    x = 38,899.50

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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.