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Finding the Fourth Proportional to 33,089.31, 49,632.75 and 8,129.43

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Solution

The fourth proportional to 33,089.31, 49,632.75 and 8,129.43 is: 12,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,089.31 : 49,632.75 = 8,129.43 : x
  2. Step 2: Convert to fraction form
    33,089.31/49,632.75 = 8,129.43/x
  3. Step 3: Cross multiply
    33,089.31x = 49,632.75 × 8,129.43
  4. Step 4: Simplify right side
    33,089.31x = 403,485,966.83
  5. Step 5: Solve for x
    x = 403,485,966.83/33,089.31
  6. Step 6: Final answer
    x = 12,193.85

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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.