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Finding the Fourth Proportional to 31,115.94, 46,660.17 and 8,924.28

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Solution

The fourth proportional to 31,115.94, 46,660.17 and 8,924.28 is: 13,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.94 : 46,660.17 = 8,924.28 : x
  2. Step 2: Convert to fraction form
    31,115.94/46,660.17 = 8,924.28/x
  3. Step 3: Cross multiply
    31,115.94x = 46,660.17 × 8,924.28
  4. Step 4: Simplify right side
    31,115.94x = 416,408,421.93
  5. Step 5: Solve for x
    x = 416,408,421.93/31,115.94
  6. Step 6: Final answer
    x = 13,382.48

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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.