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Finding the Fourth Proportional to 32,448.30, 48,672.09 and 10,261.65

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Solution

The fourth proportional to 32,448.30, 48,672.09 and 10,261.65 is: 15,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.30 : 48,672.09 = 10,261.65 : x
  2. Step 2: Convert to fraction form
    32,448.30/48,672.09 = 10,261.65/x
  3. Step 3: Cross multiply
    32,448.30x = 48,672.09 × 10,261.65
  4. Step 4: Simplify right side
    32,448.30x = 499,456,134.87
  5. Step 5: Solve for x
    x = 499,456,134.87/32,448.30
  6. Step 6: Final answer
    x = 15,392.37

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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.