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Finding the Fourth Proportional to 32,410.78, 48,616.18 and 10,226.41

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Solution

The fourth proportional to 32,410.78, 48,616.18 and 10,226.41 is: 15,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.78 : 48,616.18 = 10,226.41 : x
  2. Step 2: Convert to fraction form
    32,410.78/48,616.18 = 10,226.41/x
  3. Step 3: Cross multiply
    32,410.78x = 48,616.18 × 10,226.41
  4. Step 4: Simplify right side
    32,410.78x = 497,168,989.31
  5. Step 5: Solve for x
    x = 497,168,989.31/32,410.78
  6. Step 6: Final answer
    x = 15,339.62

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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.