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Finding the Fourth Proportional to 48,996.64, 67,627.38 and 27,788.32

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Solution

The fourth proportional to 48,996.64, 67,627.38 and 27,788.32 is: 38,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,996.64 : 67,627.38 = 27,788.32 : x
  2. Step 2: Convert to fraction form
    48,996.64/67,627.38 = 27,788.32/x
  3. Step 3: Cross multiply
    48,996.64x = 67,627.38 × 27,788.32
  4. Step 4: Simplify right side
    48,996.64x = 1,879,251,276.20
  5. Step 5: Solve for x
    x = 1,879,251,276.20/48,996.64
  6. Step 6: Final answer
    x = 38,354.70

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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.