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Finding the Fourth Proportional to 33,091.74, 49,641.26 and 9,720

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Solution

The fourth proportional to 33,091.74, 49,641.26 and 9,720 is: 14,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.74 : 49,641.26 = 9,720 : x
  2. Step 2: Convert to fraction form
    33,091.74/49,641.26 = 9,720/x
  3. Step 3: Cross multiply
    33,091.74x = 49,641.26 × 9,720
  4. Step 4: Simplify right side
    33,091.74x = 482,512,998.60
  5. Step 5: Solve for x
    x = 482,512,998.60/33,091.74
  6. Step 6: Final answer
    x = 14,581.07

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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.