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Finding the Fourth Proportional to 33,293.68, 49,915.90 and 15,743

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Solution

The fourth proportional to 33,293.68, 49,915.90 and 15,743 is: 23,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293.68 : 49,915.90 = 15,743 : x
  2. Step 2: Convert to fraction form
    33,293.68/49,915.90 = 15,743/x
  3. Step 3: Cross multiply
    33,293.68x = 49,915.90 × 15,743
  4. Step 4: Simplify right side
    33,293.68x = 785,826,013.70
  5. Step 5: Solve for x
    x = 785,826,013.70/33,293.68
  6. Step 6: Final answer
    x = 23,602.86

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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.