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Finding the Fourth Proportional to 32,011.92, 44,177.13 and 17,864.46

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Solution

The fourth proportional to 32,011.92, 44,177.13 and 17,864.46 is: 24,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.92 : 44,177.13 = 17,864.46 : x
  2. Step 2: Convert to fraction form
    32,011.92/44,177.13 = 17,864.46/x
  3. Step 3: Cross multiply
    32,011.92x = 44,177.13 × 17,864.46
  4. Step 4: Simplify right side
    32,011.92x = 789,200,571.80
  5. Step 5: Solve for x
    x = 789,200,571.80/32,011.92
  6. Step 6: Final answer
    x = 24,653.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.