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Finding the Fourth Proportional to 33,780.62, 50,676.44 and 10,407.06

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Solution

The fourth proportional to 33,780.62, 50,676.44 and 10,407.06 is: 15,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780.62 : 50,676.44 = 10,407.06 : x
  2. Step 2: Convert to fraction form
    33,780.62/50,676.44 = 10,407.06/x
  3. Step 3: Cross multiply
    33,780.62x = 50,676.44 × 10,407.06
  4. Step 4: Simplify right side
    33,780.62x = 527,392,557.10
  5. Step 5: Solve for x
    x = 527,392,557.10/33,780.62
  6. Step 6: Final answer
    x = 15,612.28

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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.