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Finding the Fourth Proportional to 50,538.48, 69,741.90 and 27,876.99

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Solution

The fourth proportional to 50,538.48, 69,741.90 and 27,876.99 is: 38,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.48 : 69,741.90 = 27,876.99 : x
  2. Step 2: Convert to fraction form
    50,538.48/69,741.90 = 27,876.99/x
  3. Step 3: Cross multiply
    50,538.48x = 69,741.90 × 27,876.99
  4. Step 4: Simplify right side
    50,538.48x = 1,944,194,248.88
  5. Step 5: Solve for x
    x = 1,944,194,248.88/50,538.48
  6. Step 6: Final answer
    x = 38,469.58

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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.