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Finding the Fourth Proportional to 32,414.22, 48,617.01 and 9,043.02

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Solution

The fourth proportional to 32,414.22, 48,617.01 and 9,043.02 is: 13,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.22 : 48,617.01 = 9,043.02 : x
  2. Step 2: Convert to fraction form
    32,414.22/48,617.01 = 9,043.02/x
  3. Step 3: Cross multiply
    32,414.22x = 48,617.01 × 9,043.02
  4. Step 4: Simplify right side
    32,414.22x = 439,644,593.77
  5. Step 5: Solve for x
    x = 439,644,593.77/32,414.22
  6. Step 6: Final answer
    x = 13,563.32

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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.