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Finding the Fourth Proportional to 50,512.84, 75,766.52 and 15,452.50

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Solution

The fourth proportional to 50,512.84, 75,766.52 and 15,452.50 is: 23,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.84 : 75,766.52 = 15,452.50 : x
  2. Step 2: Convert to fraction form
    50,512.84/75,766.52 = 15,452.50/x
  3. Step 3: Cross multiply
    50,512.84x = 75,766.52 × 15,452.50
  4. Step 4: Simplify right side
    50,512.84x = 1,170,781,940.63
  5. Step 5: Solve for x
    x = 1,170,781,940.63/50,512.84
  6. Step 6: Final answer
    x = 23,177.91

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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.