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Finding the Fourth Proportional to 27,531.96, 37,990.87 and 16,198.96

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Solution

The fourth proportional to 27,531.96, 37,990.87 and 16,198.96 is: 22,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.96 : 37,990.87 = 16,198.96 : x
  2. Step 2: Convert to fraction form
    27,531.96/37,990.87 = 16,198.96/x
  3. Step 3: Cross multiply
    27,531.96x = 37,990.87 × 16,198.96
  4. Step 4: Simplify right side
    27,531.96x = 615,412,393.54
  5. Step 5: Solve for x
    x = 615,412,393.54/27,531.96
  6. Step 6: Final answer
    x = 22,352.66

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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.