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Finding the Fourth Proportional to 48,199.98, 66,517.38 and 26,978.70

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Solution

The fourth proportional to 48,199.98, 66,517.38 and 26,978.70 is: 37,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,199.98 : 66,517.38 = 26,978.70 : x
  2. Step 2: Convert to fraction form
    48,199.98/66,517.38 = 26,978.70/x
  3. Step 3: Cross multiply
    48,199.98x = 66,517.38 × 26,978.70
  4. Step 4: Simplify right side
    48,199.98x = 1,794,552,439.81
  5. Step 5: Solve for x
    x = 1,794,552,439.81/48,199.98
  6. Step 6: Final answer
    x = 37,231.39

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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.