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Finding the Fourth Proportional to 29,982, 41,336.70 and 24,584.55

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Solution

The fourth proportional to 29,982, 41,336.70 and 24,584.55 is: 33,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 41,336.70 = 24,584.55 : x
  2. Step 2: Convert to fraction form
    29,982/41,336.70 = 24,584.55/x
  3. Step 3: Cross multiply
    29,982x = 41,336.70 × 24,584.55
  4. Step 4: Simplify right side
    29,982x = 1,016,244,167.99
  5. Step 5: Solve for x
    x = 1,016,244,167.99/29,982
  6. Step 6: Final answer
    x = 33,895.14

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Why These Related Problems?

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