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Finding the Fourth Proportional to 32,461.09, 48,694.43 and 11,399.33

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Solution

The fourth proportional to 32,461.09, 48,694.43 and 11,399.33 is: 17,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.09 : 48,694.43 = 11,399.33 : x
  2. Step 2: Convert to fraction form
    32,461.09/48,694.43 = 11,399.33/x
  3. Step 3: Cross multiply
    32,461.09x = 48,694.43 × 11,399.33
  4. Step 4: Simplify right side
    32,461.09x = 555,083,753.06
  5. Step 5: Solve for x
    x = 555,083,753.06/32,461.09
  6. Step 6: Final answer
    x = 17,099.97

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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.