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Finding the Fourth Proportional to 32,331.96, 48,497.94 and 10,147.05

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Solution

The fourth proportional to 32,331.96, 48,497.94 and 10,147.05 is: 15,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331.96 : 48,497.94 = 10,147.05 : x
  2. Step 2: Convert to fraction form
    32,331.96/48,497.94 = 10,147.05/x
  3. Step 3: Cross multiply
    32,331.96x = 48,497.94 × 10,147.05
  4. Step 4: Simplify right side
    32,331.96x = 492,111,022.08
  5. Step 5: Solve for x
    x = 492,111,022.08/32,331.96
  6. Step 6: Final answer
    x = 15,220.58

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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.