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Finding the Fourth Proportional to 32,288.87, 48,433.30 and 10,102.43

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Solution

The fourth proportional to 32,288.87, 48,433.30 and 10,102.43 is: 15,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.87 : 48,433.30 = 10,102.43 : x
  2. Step 2: Convert to fraction form
    32,288.87/48,433.30 = 10,102.43/x
  3. Step 3: Cross multiply
    32,288.87x = 48,433.30 × 10,102.43
  4. Step 4: Simplify right side
    32,288.87x = 489,294,022.92
  5. Step 5: Solve for x
    x = 489,294,022.92/32,288.87
  6. Step 6: Final answer
    x = 15,153.64

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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.