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Finding the Fourth Proportional to 33,149.89, 49,726.48 and 9,460.93

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Solution

The fourth proportional to 33,149.89, 49,726.48 and 9,460.93 is: 14,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.89 : 49,726.48 = 9,460.93 : x
  2. Step 2: Convert to fraction form
    33,149.89/49,726.48 = 9,460.93/x
  3. Step 3: Cross multiply
    33,149.89x = 49,726.48 × 9,460.93
  4. Step 4: Simplify right side
    33,149.89x = 470,458,766.06
  5. Step 5: Solve for x
    x = 470,458,766.06/33,149.89
  6. Step 6: Final answer
    x = 14,191.86

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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.