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Finding the Fourth Proportional to 32,680.83, 49,029.75 and 9,309.09

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Solution

The fourth proportional to 32,680.83, 49,029.75 and 9,309.09 is: 13,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.83 : 49,029.75 = 9,309.09 : x
  2. Step 2: Convert to fraction form
    32,680.83/49,029.75 = 9,309.09/x
  3. Step 3: Cross multiply
    32,680.83x = 49,029.75 × 9,309.09
  4. Step 4: Simplify right side
    32,680.83x = 456,422,355.43
  5. Step 5: Solve for x
    x = 456,422,355.43/32,680.83
  6. Step 6: Final answer
    x = 13,966.06

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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.