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Finding the Fourth Proportional to 54,817.88, 82,229.52 and 17,881.88

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Solution

The fourth proportional to 54,817.88, 82,229.52 and 17,881.88 is: 26,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,817.88 : 82,229.52 = 17,881.88 : x
  2. Step 2: Convert to fraction form
    54,817.88/82,229.52 = 17,881.88/x
  3. Step 3: Cross multiply
    54,817.88x = 82,229.52 × 17,881.88
  4. Step 4: Simplify right side
    54,817.88x = 1,470,417,997.95
  5. Step 5: Solve for x
    x = 1,470,417,997.95/54,817.88
  6. Step 6: Final answer
    x = 26,823.70

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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.