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Finding the Fourth Proportional to 30,311.96, 41,839.96 and 24,642.18

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Solution

The fourth proportional to 30,311.96, 41,839.96 and 24,642.18 is: 34,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.96 : 41,839.96 = 24,642.18 : x
  2. Step 2: Convert to fraction form
    30,311.96/41,839.96 = 24,642.18/x
  3. Step 3: Cross multiply
    30,311.96x = 41,839.96 × 24,642.18
  4. Step 4: Simplify right side
    30,311.96x = 1,031,027,825.51
  5. Step 5: Solve for x
    x = 1,031,027,825.51/30,311.96
  6. Step 6: Final answer
    x = 34,013.90

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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.