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Finding the Fourth Proportional to 33,204.89, 49,792.67 and 9,507.05

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Solution

The fourth proportional to 33,204.89, 49,792.67 and 9,507.05 is: 14,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.89 : 49,792.67 = 9,507.05 : x
  2. Step 2: Convert to fraction form
    33,204.89/49,792.67 = 9,507.05/x
  3. Step 3: Cross multiply
    33,204.89x = 49,792.67 × 9,507.05
  4. Step 4: Simplify right side
    33,204.89x = 473,381,551.57
  5. Step 5: Solve for x
    x = 473,381,551.57/33,204.89
  6. Step 6: Final answer
    x = 14,256.38

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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.