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Finding the Fourth Proportional to 32,493.18, 48,727.10 and 9,997.16

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Solution

The fourth proportional to 32,493.18, 48,727.10 and 9,997.16 is: 14,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.18 : 48,727.10 = 9,997.16 : x
  2. Step 2: Convert to fraction form
    32,493.18/48,727.10 = 9,997.16/x
  3. Step 3: Cross multiply
    32,493.18x = 48,727.10 × 9,997.16
  4. Step 4: Simplify right side
    32,493.18x = 487,132,321.41
  5. Step 5: Solve for x
    x = 487,132,321.41/32,493.18
  6. Step 6: Final answer
    x = 14,991.83

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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.