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Finding the Fourth Proportional to 48,799.36, 67,345 and 27,580.96

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Solution

The fourth proportional to 48,799.36, 67,345 and 27,580.96 is: 38,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799.36 : 67,345 = 27,580.96 : x
  2. Step 2: Convert to fraction form
    48,799.36/67,345 = 27,580.96/x
  3. Step 3: Cross multiply
    48,799.36x = 67,345 × 27,580.96
  4. Step 4: Simplify right side
    48,799.36x = 1,857,439,751.20
  5. Step 5: Solve for x
    x = 1,857,439,751.20/48,799.36
  6. Step 6: Final answer
    x = 38,062.79

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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.