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Finding the Fourth Proportional to 33,580.90, 50,373.15 and 10,205.56

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Solution

The fourth proportional to 33,580.90, 50,373.15 and 10,205.56 is: 15,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580.90 : 50,373.15 = 10,205.56 : x
  2. Step 2: Convert to fraction form
    33,580.90/50,373.15 = 10,205.56/x
  3. Step 3: Cross multiply
    33,580.90x = 50,373.15 × 10,205.56
  4. Step 4: Simplify right side
    33,580.90x = 514,086,204.71
  5. Step 5: Solve for x
    x = 514,086,204.71/33,580.90
  6. Step 6: Final answer
    x = 15,308.89

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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.