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Finding the Fourth Proportional to 48,562, 67,016.04 and 27,340.24

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Solution

The fourth proportional to 48,562, 67,016.04 and 27,340.24 is: 37,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,562 : 67,016.04 = 27,340.24 : x
  2. Step 2: Convert to fraction form
    48,562/67,016.04 = 27,340.24/x
  3. Step 3: Cross multiply
    48,562x = 67,016.04 × 27,340.24
  4. Step 4: Simplify right side
    48,562x = 1,832,234,617.45
  5. Step 5: Solve for x
    x = 1,832,234,617.45/48,562
  6. Step 6: Final answer
    x = 37,729.80

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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.