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Finding the Fourth Proportional to 109,442.81, 164,169.13 and 33,535.78

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Solution

The fourth proportional to 109,442.81, 164,169.13 and 33,535.78 is: 50,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,442.81 : 164,169.13 = 33,535.78 : x
  2. Step 2: Convert to fraction form
    109,442.81/164,169.13 = 33,535.78/x
  3. Step 3: Cross multiply
    109,442.81x = 164,169.13 × 33,535.78
  4. Step 4: Simplify right side
    109,442.81x = 5,505,539,826.47
  5. Step 5: Solve for x
    x = 5,505,539,826.47/109,442.81
  6. Step 6: Final answer
    x = 50,305.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.