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Finding the Fourth Proportional to 39,410.86, 54,387.60 and 22,414.66

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Solution

The fourth proportional to 39,410.86, 54,387.60 and 22,414.66 is: 30,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410.86 : 54,387.60 = 22,414.66 : x
  2. Step 2: Convert to fraction form
    39,410.86/54,387.60 = 22,414.66/x
  3. Step 3: Cross multiply
    39,410.86x = 54,387.60 × 22,414.66
  4. Step 4: Simplify right side
    39,410.86x = 1,219,079,562.22
  5. Step 5: Solve for x
    x = 1,219,079,562.22/39,410.86
  6. Step 6: Final answer
    x = 30,932.58

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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.