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Finding the Fourth Proportional to 33,148.89, 49,727.52 and 9,775.80

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Solution

The fourth proportional to 33,148.89, 49,727.52 and 9,775.80 is: 14,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.89 : 49,727.52 = 9,775.80 : x
  2. Step 2: Convert to fraction form
    33,148.89/49,727.52 = 9,775.80/x
  3. Step 3: Cross multiply
    33,148.89x = 49,727.52 × 9,775.80
  4. Step 4: Simplify right side
    33,148.89x = 486,126,290.02
  5. Step 5: Solve for x
    x = 486,126,290.02/33,148.89
  6. Step 6: Final answer
    x = 14,664.93

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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.