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Finding the Fourth Proportional to 32,361.31, 48,552.90 and 10,177.84

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Solution

The fourth proportional to 32,361.31, 48,552.90 and 10,177.84 is: 15,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361.31 : 48,552.90 = 10,177.84 : x
  2. Step 2: Convert to fraction form
    32,361.31/48,552.90 = 10,177.84/x
  3. Step 3: Cross multiply
    32,361.31x = 48,552.90 × 10,177.84
  4. Step 4: Simplify right side
    32,361.31x = 494,163,647.74
  5. Step 5: Solve for x
    x = 494,163,647.74/32,361.31
  6. Step 6: Final answer
    x = 15,270.20

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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.