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Finding the Fourth Proportional to 32,635.05, 48,958.71 and 10,442.48

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Solution

The fourth proportional to 32,635.05, 48,958.71 and 10,442.48 is: 15,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,635.05 : 48,958.71 = 10,442.48 : x
  2. Step 2: Convert to fraction form
    32,635.05/48,958.71 = 10,442.48/x
  3. Step 3: Cross multiply
    32,635.05x = 48,958.71 × 10,442.48
  4. Step 4: Simplify right side
    32,635.05x = 511,250,105.21
  5. Step 5: Solve for x
    x = 511,250,105.21/32,635.05
  6. Step 6: Final answer
    x = 15,665.68

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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.