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Finding the Fourth Proportional to 32,842.77, 45,314.67 and 20,091.28

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Solution

The fourth proportional to 32,842.77, 45,314.67 and 20,091.28 is: 27,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.77 : 45,314.67 = 20,091.28 : x
  2. Step 2: Convert to fraction form
    32,842.77/45,314.67 = 20,091.28/x
  3. Step 3: Cross multiply
    32,842.77x = 45,314.67 × 20,091.28
  4. Step 4: Simplify right side
    32,842.77x = 910,429,723.08
  5. Step 5: Solve for x
    x = 910,429,723.08/32,842.77
  6. Step 6: Final answer
    x = 27,720.86

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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.