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Finding the Fourth Proportional to 106,019.43, 159,029.01 and 27,133.68

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Solution

The fourth proportional to 106,019.43, 159,029.01 and 27,133.68 is: 40,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,019.43 : 159,029.01 = 27,133.68 : x
  2. Step 2: Convert to fraction form
    106,019.43/159,029.01 = 27,133.68/x
  3. Step 3: Cross multiply
    106,019.43x = 159,029.01 × 27,133.68
  4. Step 4: Simplify right side
    106,019.43x = 4,315,042,268.06
  5. Step 5: Solve for x
    x = 4,315,042,268.06/106,019.43
  6. Step 6: Final answer
    x = 40,700.49

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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.