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Finding the Fourth Proportional to 48,182.54, 66,449 and 30,279.38

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Solution

The fourth proportional to 48,182.54, 66,449 and 30,279.38 is: 41,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,182.54 : 66,449 = 30,279.38 : x
  2. Step 2: Convert to fraction form
    48,182.54/66,449 = 30,279.38/x
  3. Step 3: Cross multiply
    48,182.54x = 66,449 × 30,279.38
  4. Step 4: Simplify right side
    48,182.54x = 2,012,034,521.62
  5. Step 5: Solve for x
    x = 2,012,034,521.62/48,182.54
  6. Step 6: Final answer
    x = 41,758.58

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1.5x scale

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.