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Finding the Fourth Proportional to 50,134.60, 69,187.14 and 27,778.60

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Solution

The fourth proportional to 50,134.60, 69,187.14 and 27,778.60 is: 38,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,134.60 : 69,187.14 = 27,778.60 : x
  2. Step 2: Convert to fraction form
    50,134.60/69,187.14 = 27,778.60/x
  3. Step 3: Cross multiply
    50,134.60x = 69,187.14 × 27,778.60
  4. Step 4: Simplify right side
    50,134.60x = 1,921,921,887.20
  5. Step 5: Solve for x
    x = 1,921,921,887.20/50,134.60
  6. Step 6: Final answer
    x = 38,335.24

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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.