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Finding the Fourth Proportional to 69,118.24, 103,699.26 and 24,744

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Solution

The fourth proportional to 69,118.24, 103,699.26 and 24,744 is: 37,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,118.24 : 103,699.26 = 24,744 : x
  2. Step 2: Convert to fraction form
    69,118.24/103,699.26 = 24,744/x
  3. Step 3: Cross multiply
    69,118.24x = 103,699.26 × 24,744
  4. Step 4: Simplify right side
    69,118.24x = 2,565,934,489.44
  5. Step 5: Solve for x
    x = 2,565,934,489.44/69,118.24
  6. Step 6: Final answer
    x = 37,123.84

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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.