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Finding the Fourth Proportional to 31,105.89, 46,649.27 and 8,913.32

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Solution

The fourth proportional to 31,105.89, 46,649.27 and 8,913.32 is: 13,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.89 : 46,649.27 = 8,913.32 : x
  2. Step 2: Convert to fraction form
    31,105.89/46,649.27 = 8,913.32/x
  3. Step 3: Cross multiply
    31,105.89x = 46,649.27 × 8,913.32
  4. Step 4: Simplify right side
    31,105.89x = 415,799,593.46
  5. Step 5: Solve for x
    x = 415,799,593.46/31,105.89
  6. Step 6: Final answer
    x = 13,367.23

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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.