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Finding the Fourth Proportional to 29,997.86, 44,999.38 and 7,811.24

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Solution

The fourth proportional to 29,997.86, 44,999.38 and 7,811.24 is: 11,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997.86 : 44,999.38 = 7,811.24 : x
  2. Step 2: Convert to fraction form
    29,997.86/44,999.38 = 7,811.24/x
  3. Step 3: Cross multiply
    29,997.86x = 44,999.38 × 7,811.24
  4. Step 4: Simplify right side
    29,997.86x = 351,500,957.03
  5. Step 5: Solve for x
    x = 351,500,957.03/29,997.86
  6. Step 6: Final answer
    x = 11,717.53

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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.