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Finding the Fourth Proportional to 54,042.80, 80,869.80 and 36,546.80

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Solution

The fourth proportional to 54,042.80, 80,869.80 and 36,546.80 is: 54,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,042.80 : 80,869.80 = 36,546.80 : x
  2. Step 2: Convert to fraction form
    54,042.80/80,869.80 = 36,546.80/x
  3. Step 3: Cross multiply
    54,042.80x = 80,869.80 × 36,546.80
  4. Step 4: Simplify right side
    54,042.80x = 2,955,532,406.64
  5. Step 5: Solve for x
    x = 2,955,532,406.64/54,042.80
  6. Step 6: Final answer
    x = 54,688.74

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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.