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Finding the Fourth Proportional to 33,032.55, 49,548.64 and 8,072.73

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Solution

The fourth proportional to 33,032.55, 49,548.64 and 8,072.73 is: 12,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032.55 : 49,548.64 = 8,072.73 : x
  2. Step 2: Convert to fraction form
    33,032.55/49,548.64 = 8,072.73/x
  3. Step 3: Cross multiply
    33,032.55x = 49,548.64 × 8,072.73
  4. Step 4: Simplify right side
    33,032.55x = 399,992,792.59
  5. Step 5: Solve for x
    x = 399,992,792.59/33,032.55
  6. Step 6: Final answer
    x = 12,109.05

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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.