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Finding the Fourth Proportional to 27,149.12, 40,724.16 and 8,681.12

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Solution

The fourth proportional to 27,149.12, 40,724.16 and 8,681.12 is: 13,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.12 : 40,724.16 = 8,681.12 : x
  2. Step 2: Convert to fraction form
    27,149.12/40,724.16 = 8,681.12/x
  3. Step 3: Cross multiply
    27,149.12x = 40,724.16 × 8,681.12
  4. Step 4: Simplify right side
    27,149.12x = 353,531,319.86
  5. Step 5: Solve for x
    x = 353,531,319.86/27,149.12
  6. Step 6: Final answer
    x = 13,021.83

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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.