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Finding the Fourth Proportional to 50,568.96, 69,785.90 and 27,909.00

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Solution

The fourth proportional to 50,568.96, 69,785.90 and 27,909.00 is: 38,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,568.96 : 69,785.90 = 27,909.00 : x
  2. Step 2: Convert to fraction form
    50,568.96/69,785.90 = 27,909.00/x
  3. Step 3: Cross multiply
    50,568.96x = 69,785.90 × 27,909.00
  4. Step 4: Simplify right side
    50,568.96x = 1,947,654,718.02
  5. Step 5: Solve for x
    x = 1,947,654,718.02/50,568.96
  6. Step 6: Final answer
    x = 38,514.83

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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.