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Finding the Fourth Proportional to 33,830.38, 50,737.87 and 12,772.68

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Solution

The fourth proportional to 33,830.38, 50,737.87 and 12,772.68 is: 19,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.38 : 50,737.87 = 12,772.68 : x
  2. Step 2: Convert to fraction form
    33,830.38/50,737.87 = 12,772.68/x
  3. Step 3: Cross multiply
    33,830.38x = 50,737.87 × 12,772.68
  4. Step 4: Simplify right side
    33,830.38x = 648,058,577.39
  5. Step 5: Solve for x
    x = 648,058,577.39/33,830.38
  6. Step 6: Final answer
    x = 19,156.11

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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.