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Finding the Fourth Proportional to 38,502.76, 57,755.70 and 12,206.92

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Solution

The fourth proportional to 38,502.76, 57,755.70 and 12,206.92 is: 18,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.76 : 57,755.70 = 12,206.92 : x
  2. Step 2: Convert to fraction form
    38,502.76/57,755.70 = 12,206.92/x
  3. Step 3: Cross multiply
    38,502.76x = 57,755.70 × 12,206.92
  4. Step 4: Simplify right side
    38,502.76x = 705,019,209.44
  5. Step 5: Solve for x
    x = 705,019,209.44/38,502.76
  6. Step 6: Final answer
    x = 18,310.87

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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.