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Finding the Fourth Proportional to 33,582.46, 50,371.86 and 10,207.07

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Solution

The fourth proportional to 33,582.46, 50,371.86 and 10,207.07 is: 15,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582.46 : 50,371.86 = 10,207.07 : x
  2. Step 2: Convert to fraction form
    33,582.46/50,371.86 = 10,207.07/x
  3. Step 3: Cross multiply
    33,582.46x = 50,371.86 × 10,207.07
  4. Step 4: Simplify right side
    33,582.46x = 514,149,101.05
  5. Step 5: Solve for x
    x = 514,149,101.05/33,582.46
  6. Step 6: Final answer
    x = 15,310.05

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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.