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Finding the Fourth Proportional to 50,538.76, 75,781.34 and 15,469

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Solution

The fourth proportional to 50,538.76, 75,781.34 and 15,469 is: 23,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.76 : 75,781.34 = 15,469 : x
  2. Step 2: Convert to fraction form
    50,538.76/75,781.34 = 15,469/x
  3. Step 3: Cross multiply
    50,538.76x = 75,781.34 × 15,469
  4. Step 4: Simplify right side
    50,538.76x = 1,172,261,548.46
  5. Step 5: Solve for x
    x = 1,172,261,548.46/50,538.76
  6. Step 6: Final answer
    x = 23,195.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.