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Finding the Fourth Proportional to 50,166, 75,226.20 and 23,902.48

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Solution

The fourth proportional to 50,166, 75,226.20 and 23,902.48 is: 35,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,166 : 75,226.20 = 23,902.48 : x
  2. Step 2: Convert to fraction form
    50,166/75,226.20 = 23,902.48/x
  3. Step 3: Cross multiply
    50,166x = 75,226.20 × 23,902.48
  4. Step 4: Simplify right side
    50,166x = 1,798,092,740.98
  5. Step 5: Solve for x
    x = 1,798,092,740.98/50,166
  6. Step 6: Final answer
    x = 35,842.86

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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.