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Finding the Fourth Proportional to 33,784.59, 50,676.89 and 10,411.03

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Solution

The fourth proportional to 33,784.59, 50,676.89 and 10,411.03 is: 15,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.59 : 50,676.89 = 10,411.03 : x
  2. Step 2: Convert to fraction form
    33,784.59/50,676.89 = 10,411.03/x
  3. Step 3: Cross multiply
    33,784.59x = 50,676.89 × 10,411.03
  4. Step 4: Simplify right side
    33,784.59x = 527,598,691.95
  5. Step 5: Solve for x
    x = 527,598,691.95/33,784.59
  6. Step 6: Final answer
    x = 15,616.55

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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.