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Finding the Fourth Proportional to 80,544.31, 111,106.35 and 74,842.38

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Solution

The fourth proportional to 80,544.31, 111,106.35 and 74,842.38 is: 103,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,544.31 : 111,106.35 = 74,842.38 : x
  2. Step 2: Convert to fraction form
    80,544.31/111,106.35 = 74,842.38/x
  3. Step 3: Cross multiply
    80,544.31x = 111,106.35 × 74,842.38
  4. Step 4: Simplify right side
    80,544.31x = 8,315,463,667.11
  5. Step 5: Solve for x
    x = 8,315,463,667.11/80,544.31
  6. Step 6: Final answer
    x = 103,240.86

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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.