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Finding the Fourth Proportional to 55,382.49, 76,426.86 and 31,508.65

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Solution

The fourth proportional to 55,382.49, 76,426.86 and 31,508.65 is: 43,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.49 : 76,426.86 = 31,508.65 : x
  2. Step 2: Convert to fraction form
    55,382.49/76,426.86 = 31,508.65/x
  3. Step 3: Cross multiply
    55,382.49x = 76,426.86 × 31,508.65
  4. Step 4: Simplify right side
    55,382.49x = 2,408,107,218.79
  5. Step 5: Solve for x
    x = 2,408,107,218.79/55,382.49
  6. Step 6: Final answer
    x = 43,481.38

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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.