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Finding the Fourth Proportional to 54,109.38, 74,766.33 and 41,641.86

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Solution

The fourth proportional to 54,109.38, 74,766.33 and 41,641.86 is: 57,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,109.38 : 74,766.33 = 41,641.86 : x
  2. Step 2: Convert to fraction form
    54,109.38/74,766.33 = 41,641.86/x
  3. Step 3: Cross multiply
    54,109.38x = 74,766.33 × 41,641.86
  4. Step 4: Simplify right side
    54,109.38x = 3,113,409,046.57
  5. Step 5: Solve for x
    x = 3,113,409,046.57/54,109.38
  6. Step 6: Final answer
    x = 57,539.17

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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.