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Finding the Fourth Proportional to 32,116.86, 44,324.55 and 20,189.34

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Solution

The fourth proportional to 32,116.86, 44,324.55 and 20,189.34 is: 27,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.86 : 44,324.55 = 20,189.34 : x
  2. Step 2: Convert to fraction form
    32,116.86/44,324.55 = 20,189.34/x
  3. Step 3: Cross multiply
    32,116.86x = 44,324.55 × 20,189.34
  4. Step 4: Simplify right side
    32,116.86x = 894,883,410.30
  5. Step 5: Solve for x
    x = 894,883,410.30/32,116.86
  6. Step 6: Final answer
    x = 27,863.35

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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.