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Finding the Fourth Proportional to 54,191.46, 74,759.25 and 35,077.38

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Solution

The fourth proportional to 54,191.46, 74,759.25 and 35,077.38 is: 48,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,191.46 : 74,759.25 = 35,077.38 : x
  2. Step 2: Convert to fraction form
    54,191.46/74,759.25 = 35,077.38/x
  3. Step 3: Cross multiply
    54,191.46x = 74,759.25 × 35,077.38
  4. Step 4: Simplify right side
    54,191.46x = 2,622,358,620.77
  5. Step 5: Solve for x
    x = 2,622,358,620.77/54,191.46
  6. Step 6: Final answer
    x = 48,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.