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Finding the Fourth Proportional to 31,208.72, 46,806.15 and 9,017.24

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Solution

The fourth proportional to 31,208.72, 46,806.15 and 9,017.24 is: 13,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.72 : 46,806.15 = 9,017.24 : x
  2. Step 2: Convert to fraction form
    31,208.72/46,806.15 = 9,017.24/x
  3. Step 3: Cross multiply
    31,208.72x = 46,806.15 × 9,017.24
  4. Step 4: Simplify right side
    31,208.72x = 422,062,288.03
  5. Step 5: Solve for x
    x = 422,062,288.03/31,208.72
  6. Step 6: Final answer
    x = 13,523.86

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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.