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Finding the Fourth Proportional to 27,527.70, 37,981.69 and 16,197.69

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Solution

The fourth proportional to 27,527.70, 37,981.69 and 16,197.69 is: 22,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.70 : 37,981.69 = 16,197.69 : x
  2. Step 2: Convert to fraction form
    27,527.70/37,981.69 = 16,197.69/x
  3. Step 3: Cross multiply
    27,527.70x = 37,981.69 × 16,197.69
  4. Step 4: Simplify right side
    27,527.70x = 615,215,640.30
  5. Step 5: Solve for x
    x = 615,215,640.30/27,527.70
  6. Step 6: Final answer
    x = 22,348.97

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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.