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Finding the Fourth Proportional to 50,188.96, 69,259.92 and 27,832.48

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Solution

The fourth proportional to 50,188.96, 69,259.92 and 27,832.48 is: 38,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,188.96 : 69,259.92 = 27,832.48 : x
  2. Step 2: Convert to fraction form
    50,188.96/69,259.92 = 27,832.48/x
  3. Step 3: Cross multiply
    50,188.96x = 69,259.92 × 27,832.48
  4. Step 4: Simplify right side
    50,188.96x = 1,927,675,338.20
  5. Step 5: Solve for x
    x = 1,927,675,338.20/50,188.96
  6. Step 6: Final answer
    x = 38,408.35

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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.