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Finding the Fourth Proportional to 50,518.86, 69,716.53 and 27,858.75

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Solution

The fourth proportional to 50,518.86, 69,716.53 and 27,858.75 is: 38,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,518.86 : 69,716.53 = 27,858.75 : x
  2. Step 2: Convert to fraction form
    50,518.86/69,716.53 = 27,858.75/x
  3. Step 3: Cross multiply
    50,518.86x = 69,716.53 × 27,858.75
  4. Step 4: Simplify right side
    50,518.86x = 1,942,215,380.14
  5. Step 5: Solve for x
    x = 1,942,215,380.14/50,518.86
  6. Step 6: Final answer
    x = 38,445.35

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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.