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Finding the Fourth Proportional to 41,976.41, 57,909.76 and 27,804.65

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Solution

The fourth proportional to 41,976.41, 57,909.76 and 27,804.65 is: 38,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,976.41 : 57,909.76 = 27,804.65 : x
  2. Step 2: Convert to fraction form
    41,976.41/57,909.76 = 27,804.65/x
  3. Step 3: Cross multiply
    41,976.41x = 57,909.76 × 27,804.65
  4. Step 4: Simplify right side
    41,976.41x = 1,610,160,608.38
  5. Step 5: Solve for x
    x = 1,610,160,608.38/41,976.41
  6. Step 6: Final answer
    x = 38,358.70

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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.