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Finding the Fourth Proportional to 80,731.89, 121,097.43 and 33,984.77

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Solution

The fourth proportional to 80,731.89, 121,097.43 and 33,984.77 is: 50,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,731.89 : 121,097.43 = 33,984.77 : x
  2. Step 2: Convert to fraction form
    80,731.89/121,097.43 = 33,984.77/x
  3. Step 3: Cross multiply
    80,731.89x = 121,097.43 × 33,984.77
  4. Step 4: Simplify right side
    80,731.89x = 4,115,467,700.65
  5. Step 5: Solve for x
    x = 4,115,467,700.65/80,731.89
  6. Step 6: Final answer
    x = 50,976.98

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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.