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Finding the Fourth Proportional to 49,805.68, 68,732.10 and 27,449.68

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Solution

The fourth proportional to 49,805.68, 68,732.10 and 27,449.68 is: 37,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,805.68 : 68,732.10 = 27,449.68 : x
  2. Step 2: Convert to fraction form
    49,805.68/68,732.10 = 27,449.68/x
  3. Step 3: Cross multiply
    49,805.68x = 68,732.10 × 27,449.68
  4. Step 4: Simplify right side
    49,805.68x = 1,886,674,150.73
  5. Step 5: Solve for x
    x = 1,886,674,150.73/49,805.68
  6. Step 6: Final answer
    x = 37,880.70

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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.