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Finding the Fourth Proportional to 33,009.06, 49,515.42 and 9,634.86

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Solution

The fourth proportional to 33,009.06, 49,515.42 and 9,634.86 is: 14,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.06 : 49,515.42 = 9,634.86 : x
  2. Step 2: Convert to fraction form
    33,009.06/49,515.42 = 9,634.86/x
  3. Step 3: Cross multiply
    33,009.06x = 49,515.42 × 9,634.86
  4. Step 4: Simplify right side
    33,009.06x = 477,074,139.54
  5. Step 5: Solve for x
    x = 477,074,139.54/33,009.06
  6. Step 6: Final answer
    x = 14,452.82

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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.