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Finding the Fourth Proportional to 34,824.32, 48,020.82 and 24,742.26

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Solution

The fourth proportional to 34,824.32, 48,020.82 and 24,742.26 is: 34,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824.32 : 48,020.82 = 24,742.26 : x
  2. Step 2: Convert to fraction form
    34,824.32/48,020.82 = 24,742.26/x
  3. Step 3: Cross multiply
    34,824.32x = 48,020.82 × 24,742.26
  4. Step 4: Simplify right side
    34,824.32x = 1,188,143,613.85
  5. Step 5: Solve for x
    x = 1,188,143,613.85/34,824.32
  6. Step 6: Final answer
    x = 34,118.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.