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Finding the Fourth Proportional to 48,612.80, 67,067.24 and 30,701

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Solution

The fourth proportional to 48,612.80, 67,067.24 and 30,701 is: 42,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,612.80 : 67,067.24 = 30,701 : x
  2. Step 2: Convert to fraction form
    48,612.80/67,067.24 = 30,701/x
  3. Step 3: Cross multiply
    48,612.80x = 67,067.24 × 30,701
  4. Step 4: Simplify right side
    48,612.80x = 2,059,031,335.24
  5. Step 5: Solve for x
    x = 2,059,031,335.24/48,612.80
  6. Step 6: Final answer
    x = 42,355.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.