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Finding the Fourth Proportional to 54,286.80, 81,430.20 and 19,221.90

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Solution

The fourth proportional to 54,286.80, 81,430.20 and 19,221.90 is: 28,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286.80 : 81,430.20 = 19,221.90 : x
  2. Step 2: Convert to fraction form
    54,286.80/81,430.20 = 19,221.90/x
  3. Step 3: Cross multiply
    54,286.80x = 81,430.20 × 19,221.90
  4. Step 4: Simplify right side
    54,286.80x = 1,565,243,161.38
  5. Step 5: Solve for x
    x = 1,565,243,161.38/54,286.80
  6. Step 6: Final answer
    x = 28,832.85

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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.