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Finding the Fourth Proportional to 38,102.43, 52,582.10 and 22,804.73

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Solution

The fourth proportional to 38,102.43, 52,582.10 and 22,804.73 is: 31,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.43 : 52,582.10 = 22,804.73 : x
  2. Step 2: Convert to fraction form
    38,102.43/52,582.10 = 22,804.73/x
  3. Step 3: Cross multiply
    38,102.43x = 52,582.10 × 22,804.73
  4. Step 4: Simplify right side
    38,102.43x = 1,199,120,593.33
  5. Step 5: Solve for x
    x = 1,199,120,593.33/38,102.43
  6. Step 6: Final answer
    x = 31,470.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.