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Finding the Fourth Proportional to 27,574.65, 41,382.90 and 20,198.25

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Solution

The fourth proportional to 27,574.65, 41,382.90 and 20,198.25 is: 30,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.65 : 41,382.90 = 20,198.25 : x
  2. Step 2: Convert to fraction form
    27,574.65/41,382.90 = 20,198.25/x
  3. Step 3: Cross multiply
    27,574.65x = 41,382.90 × 20,198.25
  4. Step 4: Simplify right side
    27,574.65x = 835,862,159.93
  5. Step 5: Solve for x
    x = 835,862,159.93/27,574.65
  6. Step 6: Final answer
    x = 30,312.70

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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.