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Finding the Fourth Proportional to 32,474.88, 48,683.52 and 15,825.60

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Solution

The fourth proportional to 32,474.88, 48,683.52 and 15,825.60 is: 23,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.88 : 48,683.52 = 15,825.60 : x
  2. Step 2: Convert to fraction form
    32,474.88/48,683.52 = 15,825.60/x
  3. Step 3: Cross multiply
    32,474.88x = 48,683.52 × 15,825.60
  4. Step 4: Simplify right side
    32,474.88x = 770,445,914.11
  5. Step 5: Solve for x
    x = 770,445,914.11/32,474.88
  6. Step 6: Final answer
    x = 23,724.37

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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.