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Finding the Fourth Proportional to 33,150.89, 49,730.52 and 9,777.80

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Solution

The fourth proportional to 33,150.89, 49,730.52 and 9,777.80 is: 14,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.89 : 49,730.52 = 9,777.80 : x
  2. Step 2: Convert to fraction form
    33,150.89/49,730.52 = 9,777.80/x
  3. Step 3: Cross multiply
    33,150.89x = 49,730.52 × 9,777.80
  4. Step 4: Simplify right side
    33,150.89x = 486,255,078.46
  5. Step 5: Solve for x
    x = 486,255,078.46/33,150.89
  6. Step 6: Final answer
    x = 14,667.93

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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.