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Finding the Fourth Proportional to 32,991.09, 45,535.14 and 27,676.68

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Solution

The fourth proportional to 32,991.09, 45,535.14 and 27,676.68 is: 38,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.09 : 45,535.14 = 27,676.68 : x
  2. Step 2: Convert to fraction form
    32,991.09/45,535.14 = 27,676.68/x
  3. Step 3: Cross multiply
    32,991.09x = 45,535.14 × 27,676.68
  4. Step 4: Simplify right side
    32,991.09x = 1,260,261,498.54
  5. Step 5: Solve for x
    x = 1,260,261,498.54/32,991.09
  6. Step 6: Final answer
    x = 38,200.06

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Why These Related Problems?

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