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Finding the Fourth Proportional to 54,813.76, 82,229.22 and 23,223.88

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Solution

The fourth proportional to 54,813.76, 82,229.22 and 23,223.88 is: 34,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813.76 : 82,229.22 = 23,223.88 : x
  2. Step 2: Convert to fraction form
    54,813.76/82,229.22 = 23,223.88/x
  3. Step 3: Cross multiply
    54,813.76x = 82,229.22 × 23,223.88
  4. Step 4: Simplify right side
    54,813.76x = 1,909,681,537.77
  5. Step 5: Solve for x
    x = 1,909,681,537.77/54,813.76
  6. Step 6: Final answer
    x = 34,839.46

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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.