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Finding the Fourth Proportional to 29,777, 41,092.86 and 16,348.22

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Solution

The fourth proportional to 29,777, 41,092.86 and 16,348.22 is: 22,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777 : 41,092.86 = 16,348.22 : x
  2. Step 2: Convert to fraction form
    29,777/41,092.86 = 16,348.22/x
  3. Step 3: Cross multiply
    29,777x = 41,092.86 × 16,348.22
  4. Step 4: Simplify right side
    29,777x = 671,795,115.71
  5. Step 5: Solve for x
    x = 671,795,115.71/29,777
  6. Step 6: Final answer
    x = 22,560.87

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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.