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Finding the Fourth Proportional to 49,073.92, 67,724.12 and 27,855.16

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Solution

The fourth proportional to 49,073.92, 67,724.12 and 27,855.16 is: 38,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,073.92 : 67,724.12 = 27,855.16 : x
  2. Step 2: Convert to fraction form
    49,073.92/67,724.12 = 27,855.16/x
  3. Step 3: Cross multiply
    49,073.92x = 67,724.12 × 27,855.16
  4. Step 4: Simplify right side
    49,073.92x = 1,886,466,198.46
  5. Step 5: Solve for x
    x = 1,886,466,198.46/49,073.92
  6. Step 6: Final answer
    x = 38,441.32

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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.