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Finding the Fourth Proportional to 31,278.99, 46,916.75 and 8,791.17

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Solution

The fourth proportional to 31,278.99, 46,916.75 and 8,791.17 is: 13,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.99 : 46,916.75 = 8,791.17 : x
  2. Step 2: Convert to fraction form
    31,278.99/46,916.75 = 8,791.17/x
  3. Step 3: Cross multiply
    31,278.99x = 46,916.75 × 8,791.17
  4. Step 4: Simplify right side
    31,278.99x = 412,453,081.14
  5. Step 5: Solve for x
    x = 412,453,081.14/31,278.99
  6. Step 6: Final answer
    x = 13,186.27

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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.