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Finding the Fourth Proportional to 50,851.17, 76,270.05 and 13,414.17

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Solution

The fourth proportional to 50,851.17, 76,270.05 and 13,414.17 is: 20,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.17 : 76,270.05 = 13,414.17 : x
  2. Step 2: Convert to fraction form
    50,851.17/76,270.05 = 13,414.17/x
  3. Step 3: Cross multiply
    50,851.17x = 76,270.05 × 13,414.17
  4. Step 4: Simplify right side
    50,851.17x = 1,023,099,416.61
  5. Step 5: Solve for x
    x = 1,023,099,416.61/50,851.17
  6. Step 6: Final answer
    x = 20,119.49

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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.