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Finding the Fourth Proportional to 54,909.86, 82,369.92 and 15,466.91

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Solution

The fourth proportional to 54,909.86, 82,369.92 and 15,466.91 is: 23,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.86 : 82,369.92 = 15,466.91 : x
  2. Step 2: Convert to fraction form
    54,909.86/82,369.92 = 15,466.91/x
  3. Step 3: Cross multiply
    54,909.86x = 82,369.92 × 15,466.91
  4. Step 4: Simplify right side
    54,909.86x = 1,274,008,139.35
  5. Step 5: Solve for x
    x = 1,274,008,139.35/54,909.86
  6. Step 6: Final answer
    x = 23,201.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.