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Finding the Fourth Proportional to 27,642.80, 41,464.20 and 24,186.80

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Solution

The fourth proportional to 27,642.80, 41,464.20 and 24,186.80 is: 36,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.80 : 41,464.20 = 24,186.80 : x
  2. Step 2: Convert to fraction form
    27,642.80/41,464.20 = 24,186.80/x
  3. Step 3: Cross multiply
    27,642.80x = 41,464.20 × 24,186.80
  4. Step 4: Simplify right side
    27,642.80x = 1,002,886,312.56
  5. Step 5: Solve for x
    x = 1,002,886,312.56/27,642.80
  6. Step 6: Final answer
    x = 36,280.20

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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.