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Finding the Fourth Proportional to 48,074.30, 66,355.46 and 27,658.70

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Solution

The fourth proportional to 48,074.30, 66,355.46 and 27,658.70 is: 38,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074.30 : 66,355.46 = 27,658.70 : x
  2. Step 2: Convert to fraction form
    48,074.30/66,355.46 = 27,658.70/x
  3. Step 3: Cross multiply
    48,074.30x = 66,355.46 × 27,658.70
  4. Step 4: Simplify right side
    48,074.30x = 1,835,305,291.43
  5. Step 5: Solve for x
    x = 1,835,305,291.43/48,074.30
  6. Step 6: Final answer
    x = 38,176.44

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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.