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Finding the Fourth Proportional to 69,105.24, 103,679.76 and 24,731

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Solution

The fourth proportional to 69,105.24, 103,679.76 and 24,731 is: 37,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,105.24 : 103,679.76 = 24,731 : x
  2. Step 2: Convert to fraction form
    69,105.24/103,679.76 = 24,731/x
  3. Step 3: Cross multiply
    69,105.24x = 103,679.76 × 24,731
  4. Step 4: Simplify right side
    69,105.24x = 2,564,104,144.56
  5. Step 5: Solve for x
    x = 2,564,104,144.56/69,105.24
  6. Step 6: Final answer
    x = 37,104.34

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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.