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Finding the Fourth Proportional to 39,744.81, 59,616.61 and 10,162.40

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Solution

The fourth proportional to 39,744.81, 59,616.61 and 10,162.40 is: 15,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744.81 : 59,616.61 = 10,162.40 : x
  2. Step 2: Convert to fraction form
    39,744.81/59,616.61 = 10,162.40/x
  3. Step 3: Cross multiply
    39,744.81x = 59,616.61 × 10,162.40
  4. Step 4: Simplify right side
    39,744.81x = 605,847,513.97
  5. Step 5: Solve for x
    x = 605,847,513.97/39,744.81
  6. Step 6: Final answer
    x = 15,243.44

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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.