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Finding the Fourth Proportional to 39,331.84, 59,022 and 15,958.48

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Solution

The fourth proportional to 39,331.84, 59,022 and 15,958.48 is: 23,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,331.84 : 59,022 = 15,958.48 : x
  2. Step 2: Convert to fraction form
    39,331.84/59,022 = 15,958.48/x
  3. Step 3: Cross multiply
    39,331.84x = 59,022 × 15,958.48
  4. Step 4: Simplify right side
    39,331.84x = 941,901,406.56
  5. Step 5: Solve for x
    x = 941,901,406.56/39,331.84
  6. Step 6: Final answer
    x = 23,947.56

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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.