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Finding the Fourth Proportional to 31,294.38, 46,949.25 and 9,107.96

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Solution

The fourth proportional to 31,294.38, 46,949.25 and 9,107.96 is: 13,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.38 : 46,949.25 = 9,107.96 : x
  2. Step 2: Convert to fraction form
    31,294.38/46,949.25 = 9,107.96/x
  3. Step 3: Cross multiply
    31,294.38x = 46,949.25 × 9,107.96
  4. Step 4: Simplify right side
    31,294.38x = 427,611,656.28
  5. Step 5: Solve for x
    x = 427,611,656.28/31,294.38
  6. Step 6: Final answer
    x = 13,664.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.