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Finding the Fourth Proportional to 33,143.32, 49,672.86 and 15,589

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Solution

The fourth proportional to 33,143.32, 49,672.86 and 15,589 is: 23,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,143.32 : 49,672.86 = 15,589 : x
  2. Step 2: Convert to fraction form
    33,143.32/49,672.86 = 15,589/x
  3. Step 3: Cross multiply
    33,143.32x = 49,672.86 × 15,589
  4. Step 4: Simplify right side
    33,143.32x = 774,350,214.54
  5. Step 5: Solve for x
    x = 774,350,214.54/33,143.32
  6. Step 6: Final answer
    x = 23,363.69

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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.