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Finding the Fourth Proportional to 50,902.76, 76,354.14 and 15,842.43

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Solution

The fourth proportional to 50,902.76, 76,354.14 and 15,842.43 is: 23,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.76 : 76,354.14 = 15,842.43 : x
  2. Step 2: Convert to fraction form
    50,902.76/76,354.14 = 15,842.43/x
  3. Step 3: Cross multiply
    50,902.76x = 76,354.14 × 15,842.43
  4. Step 4: Simplify right side
    50,902.76x = 1,209,635,118.16
  5. Step 5: Solve for x
    x = 1,209,635,118.16/50,902.76
  6. Step 6: Final answer
    x = 23,763.65

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