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Finding the Fourth Proportional to 32,005.92, 44,184.54 and 20,081.28

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Solution

The fourth proportional to 32,005.92, 44,184.54 and 20,081.28 is: 27,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.92 : 44,184.54 = 20,081.28 : x
  2. Step 2: Convert to fraction form
    32,005.92/44,184.54 = 20,081.28/x
  3. Step 3: Cross multiply
    32,005.92x = 44,184.54 × 20,081.28
  4. Step 4: Simplify right side
    32,005.92x = 887,282,119.41
  5. Step 5: Solve for x
    x = 887,282,119.41/32,005.92
  6. Step 6: Final answer
    x = 27,722.44

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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.