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Finding the Fourth Proportional to 31,871.36, 43,983.04 and 17,724.16

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Solution

The fourth proportional to 31,871.36, 43,983.04 and 17,724.16 is: 24,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.36 : 43,983.04 = 17,724.16 : x
  2. Step 2: Convert to fraction form
    31,871.36/43,983.04 = 17,724.16/x
  3. Step 3: Cross multiply
    31,871.36x = 43,983.04 × 17,724.16
  4. Step 4: Simplify right side
    31,871.36x = 779,562,438.25
  5. Step 5: Solve for x
    x = 779,562,438.25/31,871.36
  6. Step 6: Final answer
    x = 24,459.65

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