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Finding the Fourth Proportional to 32,057.32, 48,081.51 and 10,997.02

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Solution

The fourth proportional to 32,057.32, 48,081.51 and 10,997.02 is: 16,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.32 : 48,081.51 = 10,997.02 : x
  2. Step 2: Convert to fraction form
    32,057.32/48,081.51 = 10,997.02/x
  3. Step 3: Cross multiply
    32,057.32x = 48,081.51 × 10,997.02
  4. Step 4: Simplify right side
    32,057.32x = 528,753,327.10
  5. Step 5: Solve for x
    x = 528,753,327.10/32,057.32
  6. Step 6: Final answer
    x = 16,494.00

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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.