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Finding the Fourth Proportional to 29,865.96, 44,789.22 and 10,144.08

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Solution

The fourth proportional to 29,865.96, 44,789.22 and 10,144.08 is: 15,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,865.96 : 44,789.22 = 10,144.08 : x
  2. Step 2: Convert to fraction form
    29,865.96/44,789.22 = 10,144.08/x
  3. Step 3: Cross multiply
    29,865.96x = 44,789.22 × 10,144.08
  4. Step 4: Simplify right side
    29,865.96x = 454,345,430.82
  5. Step 5: Solve for x
    x = 454,345,430.82/29,865.96
  6. Step 6: Final answer
    x = 15,212.82

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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.