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Finding the Fourth Proportional to 29,825.50, 44,722.31 and 15,749.93

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Solution

The fourth proportional to 29,825.50, 44,722.31 and 15,749.93 is: 23,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,825.50 : 44,722.31 = 15,749.93 : x
  2. Step 2: Convert to fraction form
    29,825.50/44,722.31 = 15,749.93/x
  3. Step 3: Cross multiply
    29,825.50x = 44,722.31 × 15,749.93
  4. Step 4: Simplify right side
    29,825.50x = 704,373,251.94
  5. Step 5: Solve for x
    x = 704,373,251.94/29,825.50
  6. Step 6: Final answer
    x = 23,616.48

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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.