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Finding the Fourth Proportional to 31,162.92, 46,716.54 and 11,436.90

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Solution

The fourth proportional to 31,162.92, 46,716.54 and 11,436.90 is: 17,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.92 : 46,716.54 = 11,436.90 : x
  2. Step 2: Convert to fraction form
    31,162.92/46,716.54 = 11,436.90/x
  3. Step 3: Cross multiply
    31,162.92x = 46,716.54 × 11,436.90
  4. Step 4: Simplify right side
    31,162.92x = 534,292,396.33
  5. Step 5: Solve for x
    x = 534,292,396.33/31,162.92
  6. Step 6: Final answer
    x = 17,145.13

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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.