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Finding the Fourth Proportional to 33,780.72, 50,671.20 and 19,920

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Solution

The fourth proportional to 33,780.72, 50,671.20 and 19,920 is: 29,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780.72 : 50,671.20 = 19,920 : x
  2. Step 2: Convert to fraction form
    33,780.72/50,671.20 = 19,920/x
  3. Step 3: Cross multiply
    33,780.72x = 50,671.20 × 19,920
  4. Step 4: Simplify right side
    33,780.72x = 1,009,370,304
  5. Step 5: Solve for x
    x = 1,009,370,304/33,780.72
  6. Step 6: Final answer
    x = 29,880.07

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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.