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Finding the Fourth Proportional to 49,382.75, 74,074.13 and 12,446.75

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Solution

The fourth proportional to 49,382.75, 74,074.13 and 12,446.75 is: 18,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.75 : 74,074.13 = 12,446.75 : x
  2. Step 2: Convert to fraction form
    49,382.75/74,074.13 = 12,446.75/x
  3. Step 3: Cross multiply
    49,382.75x = 74,074.13 × 12,446.75
  4. Step 4: Simplify right side
    49,382.75x = 921,982,177.58
  5. Step 5: Solve for x
    x = 921,982,177.58/49,382.75
  6. Step 6: Final answer
    x = 18,670.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.