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Finding the Fourth Proportional to 50,839.48, 76,268.80 and 19,259

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Solution

The fourth proportional to 50,839.48, 76,268.80 and 19,259 is: 28,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,839.48 : 76,268.80 = 19,259 : x
  2. Step 2: Convert to fraction form
    50,839.48/76,268.80 = 19,259/x
  3. Step 3: Cross multiply
    50,839.48x = 76,268.80 × 19,259
  4. Step 4: Simplify right side
    50,839.48x = 1,468,860,819.20
  5. Step 5: Solve for x
    x = 1,468,860,819.20/50,839.48
  6. Step 6: Final answer
    x = 28,892.13

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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.