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Finding the Fourth Proportional to 33,170.39, 49,763.28 and 9,478.25

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Solution

The fourth proportional to 33,170.39, 49,763.28 and 9,478.25 is: 14,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.39 : 49,763.28 = 9,478.25 : x
  2. Step 2: Convert to fraction form
    33,170.39/49,763.28 = 9,478.25/x
  3. Step 3: Cross multiply
    33,170.39x = 49,763.28 × 9,478.25
  4. Step 4: Simplify right side
    33,170.39x = 471,668,728.68
  5. Step 5: Solve for x
    x = 471,668,728.68/33,170.39
  6. Step 6: Final answer
    x = 14,219.57

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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.