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Finding the Fourth Proportional to 32,847.78, 49,270.83 and 9,155.22

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Solution

The fourth proportional to 32,847.78, 49,270.83 and 9,155.22 is: 13,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.78 : 49,270.83 = 9,155.22 : x
  2. Step 2: Convert to fraction form
    32,847.78/49,270.83 = 9,155.22/x
  3. Step 3: Cross multiply
    32,847.78x = 49,270.83 × 9,155.22
  4. Step 4: Simplify right side
    32,847.78x = 451,085,288.23
  5. Step 5: Solve for x
    x = 451,085,288.23/32,847.78
  6. Step 6: Final answer
    x = 13,732.60

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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.