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Finding the Fourth Proportional to 32,103.84, 48,177.64 and 11,327.34

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Solution

The fourth proportional to 32,103.84, 48,177.64 and 11,327.34 is: 16,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.84 : 48,177.64 = 11,327.34 : x
  2. Step 2: Convert to fraction form
    32,103.84/48,177.64 = 11,327.34/x
  3. Step 3: Cross multiply
    32,103.84x = 48,177.64 × 11,327.34
  4. Step 4: Simplify right side
    32,103.84x = 545,724,639.79
  5. Step 5: Solve for x
    x = 545,724,639.79/32,103.84
  6. Step 6: Final answer
    x = 16,998.73

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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.