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Finding the Fourth Proportional to 54,742.80, 82,114.20 and 36,043.95

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Solution

The fourth proportional to 54,742.80, 82,114.20 and 36,043.95 is: 54,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.80 : 82,114.20 = 36,043.95 : x
  2. Step 2: Convert to fraction form
    54,742.80/82,114.20 = 36,043.95/x
  3. Step 3: Cross multiply
    54,742.80x = 82,114.20 × 36,043.95
  4. Step 4: Simplify right side
    54,742.80x = 2,959,720,119.09
  5. Step 5: Solve for x
    x = 2,959,720,119.09/54,742.80
  6. Step 6: Final answer
    x = 54,065.93

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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.