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Finding the Fourth Proportional to 32,846.31, 49,268.78 and 10,659.65

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Solution

The fourth proportional to 32,846.31, 49,268.78 and 10,659.65 is: 15,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.31 : 49,268.78 = 10,659.65 : x
  2. Step 2: Convert to fraction form
    32,846.31/49,268.78 = 10,659.65/x
  3. Step 3: Cross multiply
    32,846.31x = 49,268.78 × 10,659.65
  4. Step 4: Simplify right side
    32,846.31x = 525,187,998.18
  5. Step 5: Solve for x
    x = 525,187,998.18/32,846.31
  6. Step 6: Final answer
    x = 15,989.25

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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.