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Finding the Fourth Proportional to 33,138.05, 49,710.14 and 13,418.15

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Solution

The fourth proportional to 33,138.05, 49,710.14 and 13,418.15 is: 20,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.05 : 49,710.14 = 13,418.15 : x
  2. Step 2: Convert to fraction form
    33,138.05/49,710.14 = 13,418.15/x
  3. Step 3: Cross multiply
    33,138.05x = 49,710.14 × 13,418.15
  4. Step 4: Simplify right side
    33,138.05x = 667,017,799.40
  5. Step 5: Solve for x
    x = 667,017,799.40/33,138.05
  6. Step 6: Final answer
    x = 20,128.46

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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.