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Finding the Fourth Proportional to 32,141.87, 48,243.90 and 15,513.60

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Solution

The fourth proportional to 32,141.87, 48,243.90 and 15,513.60 is: 23,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.87 : 48,243.90 = 15,513.60 : x
  2. Step 2: Convert to fraction form
    32,141.87/48,243.90 = 15,513.60/x
  3. Step 3: Cross multiply
    32,141.87x = 48,243.90 × 15,513.60
  4. Step 4: Simplify right side
    32,141.87x = 748,436,567.04
  5. Step 5: Solve for x
    x = 748,436,567.04/32,141.87
  6. Step 6: Final answer
    x = 23,285.41

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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.