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Finding the Fourth Proportional to 31,109.86, 46,664.77 and 7,736.29

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Solution

The fourth proportional to 31,109.86, 46,664.77 and 7,736.29 is: 11,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.86 : 46,664.77 = 7,736.29 : x
  2. Step 2: Convert to fraction form
    31,109.86/46,664.77 = 7,736.29/x
  3. Step 3: Cross multiply
    31,109.86x = 46,664.77 × 7,736.29
  4. Step 4: Simplify right side
    31,109.86x = 361,012,193.50
  5. Step 5: Solve for x
    x = 361,012,193.50/31,109.86
  6. Step 6: Final answer
    x = 11,604.43

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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.