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Finding the Fourth Proportional to 27,531.87, 37,990.75 and 16,198.87

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Solution

The fourth proportional to 27,531.87, 37,990.75 and 16,198.87 is: 22,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.87 : 37,990.75 = 16,198.87 : x
  2. Step 2: Convert to fraction form
    27,531.87/37,990.75 = 16,198.87/x
  3. Step 3: Cross multiply
    27,531.87x = 37,990.75 × 16,198.87
  4. Step 4: Simplify right side
    27,531.87x = 615,407,220.45
  5. Step 5: Solve for x
    x = 615,407,220.45/27,531.87
  6. Step 6: Final answer
    x = 22,352.54

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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.