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Finding the Fourth Proportional to 54,385.50, 81,578.25 and 19,326.54

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Solution

The fourth proportional to 54,385.50, 81,578.25 and 19,326.54 is: 28,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,385.50 : 81,578.25 = 19,326.54 : x
  2. Step 2: Convert to fraction form
    54,385.50/81,578.25 = 19,326.54/x
  3. Step 3: Cross multiply
    54,385.50x = 81,578.25 × 19,326.54
  4. Step 4: Simplify right side
    54,385.50x = 1,576,625,311.76
  5. Step 5: Solve for x
    x = 1,576,625,311.76/54,385.50
  6. Step 6: Final answer
    x = 28,989.81

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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.