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Finding the Fourth Proportional to 31,097.46, 46,647.81 and 8,908.73

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Solution

The fourth proportional to 31,097.46, 46,647.81 and 8,908.73 is: 13,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.46 : 46,647.81 = 8,908.73 : x
  2. Step 2: Convert to fraction form
    31,097.46/46,647.81 = 8,908.73/x
  3. Step 3: Cross multiply
    31,097.46x = 46,647.81 × 8,908.73
  4. Step 4: Simplify right side
    31,097.46x = 415,572,511.14
  5. Step 5: Solve for x
    x = 415,572,511.14/31,097.46
  6. Step 6: Final answer
    x = 13,363.55

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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.