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Finding the Fourth Proportional to 33,721.74, 50,569.50 and 12,650.31

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Solution

The fourth proportional to 33,721.74, 50,569.50 and 12,650.31 is: 18,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,721.74 : 50,569.50 = 12,650.31 : x
  2. Step 2: Convert to fraction form
    33,721.74/50,569.50 = 12,650.31/x
  3. Step 3: Cross multiply
    33,721.74x = 50,569.50 × 12,650.31
  4. Step 4: Simplify right side
    33,721.74x = 639,719,851.55
  5. Step 5: Solve for x
    x = 639,719,851.55/33,721.74
  6. Step 6: Final answer
    x = 18,970.55

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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.