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Finding the Fourth Proportional to 48,966.39, 67,570.74 and 27,745.20

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Solution

The fourth proportional to 48,966.39, 67,570.74 and 27,745.20 is: 38,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,966.39 : 67,570.74 = 27,745.20 : x
  2. Step 2: Convert to fraction form
    48,966.39/67,570.74 = 27,745.20/x
  3. Step 3: Cross multiply
    48,966.39x = 67,570.74 × 27,745.20
  4. Step 4: Simplify right side
    48,966.39x = 1,874,763,695.45
  5. Step 5: Solve for x
    x = 1,874,763,695.45/48,966.39
  6. Step 6: Final answer
    x = 38,286.75

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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.