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Finding the Fourth Proportional to 50,098, 75,158.52 and 17,266

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Solution

The fourth proportional to 50,098, 75,158.52 and 17,266 is: 25,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098 : 75,158.52 = 17,266 : x
  2. Step 2: Convert to fraction form
    50,098/75,158.52 = 17,266/x
  3. Step 3: Cross multiply
    50,098x = 75,158.52 × 17,266
  4. Step 4: Simplify right side
    50,098x = 1,297,687,006.32
  5. Step 5: Solve for x
    x = 1,297,687,006.32/50,098
  6. Step 6: Final answer
    x = 25,902.97

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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.