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Finding the Fourth Proportional to 86,949.38, 119,984.39 and 48,184.61

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Solution

The fourth proportional to 86,949.38, 119,984.39 and 48,184.61 is: 66,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,949.38 : 119,984.39 = 48,184.61 : x
  2. Step 2: Convert to fraction form
    86,949.38/119,984.39 = 48,184.61/x
  3. Step 3: Cross multiply
    86,949.38x = 119,984.39 × 48,184.61
  4. Step 4: Simplify right side
    86,949.38x = 5,781,400,378.09
  5. Step 5: Solve for x
    x = 5,781,400,378.09/86,949.38
  6. Step 6: Final answer
    x = 66,491.56

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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.