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Finding the Fourth Proportional to 33,015.34, 49,531.29 and 15,464.71

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Solution

The fourth proportional to 33,015.34, 49,531.29 and 15,464.71 is: 23,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015.34 : 49,531.29 = 15,464.71 : x
  2. Step 2: Convert to fraction form
    33,015.34/49,531.29 = 15,464.71/x
  3. Step 3: Cross multiply
    33,015.34x = 49,531.29 × 15,464.71
  4. Step 4: Simplify right side
    33,015.34x = 765,987,035.78
  5. Step 5: Solve for x
    x = 765,987,035.78/33,015.34
  6. Step 6: Final answer
    x = 23,200.94

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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.