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Finding the Fourth Proportional to 32,076.42, 48,125.52 and 17,286.82

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Solution

The fourth proportional to 32,076.42, 48,125.52 and 17,286.82 is: 25,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.42 : 48,125.52 = 17,286.82 : x
  2. Step 2: Convert to fraction form
    32,076.42/48,125.52 = 17,286.82/x
  3. Step 3: Cross multiply
    32,076.42x = 48,125.52 × 17,286.82
  4. Step 4: Simplify right side
    32,076.42x = 831,937,201.65
  5. Step 5: Solve for x
    x = 831,937,201.65/32,076.42
  6. Step 6: Final answer
    x = 25,936.10

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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.