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Finding the Fourth Proportional to 48,454.80, 66,827.61 and 34,162.26

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Solution

The fourth proportional to 48,454.80, 66,827.61 and 34,162.26 is: 47,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,454.80 : 66,827.61 = 34,162.26 : x
  2. Step 2: Convert to fraction form
    48,454.80/66,827.61 = 34,162.26/x
  3. Step 3: Cross multiply
    48,454.80x = 66,827.61 × 34,162.26
  4. Step 4: Simplify right side
    48,454.80x = 2,282,982,188.00
  5. Step 5: Solve for x
    x = 2,282,982,188.00/48,454.80
  6. Step 6: Final answer
    x = 47,115.71

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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.