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Finding the Fourth Proportional to 29,711.52, 41,000.85 and 17,767.80

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Solution

The fourth proportional to 29,711.52, 41,000.85 and 17,767.80 is: 24,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.52 : 41,000.85 = 17,767.80 : x
  2. Step 2: Convert to fraction form
    29,711.52/41,000.85 = 17,767.80/x
  3. Step 3: Cross multiply
    29,711.52x = 41,000.85 × 17,767.80
  4. Step 4: Simplify right side
    29,711.52x = 728,494,902.63
  5. Step 5: Solve for x
    x = 728,494,902.63/29,711.52
  6. Step 6: Final answer
    x = 24,518.94

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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.