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Finding the Fourth Proportional to 31,518.72, 47,321.28 and 19,797.12

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Solution

The fourth proportional to 31,518.72, 47,321.28 and 19,797.12 is: 29,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518.72 : 47,321.28 = 19,797.12 : x
  2. Step 2: Convert to fraction form
    31,518.72/47,321.28 = 19,797.12/x
  3. Step 3: Cross multiply
    31,518.72x = 47,321.28 × 19,797.12
  4. Step 4: Simplify right side
    31,518.72x = 936,825,058.71
  5. Step 5: Solve for x
    x = 936,825,058.71/31,518.72
  6. Step 6: Final answer
    x = 29,722.81

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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.