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Finding the Fourth Proportional to 31,279.68, 46,917.90 and 7,906.32

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Solution

The fourth proportional to 31,279.68, 46,917.90 and 7,906.32 is: 11,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.68 : 46,917.90 = 7,906.32 : x
  2. Step 2: Convert to fraction form
    31,279.68/46,917.90 = 7,906.32/x
  3. Step 3: Cross multiply
    31,279.68x = 46,917.90 × 7,906.32
  4. Step 4: Simplify right side
    31,279.68x = 370,947,931.13
  5. Step 5: Solve for x
    x = 370,947,931.13/31,279.68
  6. Step 6: Final answer
    x = 11,859.07

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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.