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Finding the Fourth Proportional to 50,410.47, 69,565.87 and 27,748.96

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Solution

The fourth proportional to 50,410.47, 69,565.87 and 27,748.96 is: 38,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,410.47 : 69,565.87 = 27,748.96 : x
  2. Step 2: Convert to fraction form
    50,410.47/69,565.87 = 27,748.96/x
  3. Step 3: Cross multiply
    50,410.47x = 69,565.87 × 27,748.96
  4. Step 4: Simplify right side
    50,410.47x = 1,930,380,544.00
  5. Step 5: Solve for x
    x = 1,930,380,544.00/50,410.47
  6. Step 6: Final answer
    x = 38,293.25

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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.