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Finding the Fourth Proportional to 33,756.89, 50,642.51 and 11,564.30

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Solution

The fourth proportional to 33,756.89, 50,642.51 and 11,564.30 is: 17,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,756.89 : 50,642.51 = 11,564.30 : x
  2. Step 2: Convert to fraction form
    33,756.89/50,642.51 = 11,564.30/x
  3. Step 3: Cross multiply
    33,756.89x = 50,642.51 × 11,564.30
  4. Step 4: Simplify right side
    33,756.89x = 585,645,178.39
  5. Step 5: Solve for x
    x = 585,645,178.39/33,756.89
  6. Step 6: Final answer
    x = 17,348.91

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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.