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Finding the Fourth Proportional to 32,612.29, 48,912.01 and 10,419.69

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Solution

The fourth proportional to 32,612.29, 48,912.01 and 10,419.69 is: 15,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,612.29 : 48,912.01 = 10,419.69 : x
  2. Step 2: Convert to fraction form
    32,612.29/48,912.01 = 10,419.69/x
  3. Step 3: Cross multiply
    32,612.29x = 48,912.01 × 10,419.69
  4. Step 4: Simplify right side
    32,612.29x = 509,647,981.48
  5. Step 5: Solve for x
    x = 509,647,981.48/32,612.29
  6. Step 6: Final answer
    x = 15,627.48

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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.