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Finding the Fourth Proportional to 29,404.50, 40,578.21 and 16,156.50

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Solution

The fourth proportional to 29,404.50, 40,578.21 and 16,156.50 is: 22,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,404.50 : 40,578.21 = 16,156.50 : x
  2. Step 2: Convert to fraction form
    29,404.50/40,578.21 = 16,156.50/x
  3. Step 3: Cross multiply
    29,404.50x = 40,578.21 × 16,156.50
  4. Step 4: Simplify right side
    29,404.50x = 655,601,849.87
  5. Step 5: Solve for x
    x = 655,601,849.87/29,404.50
  6. Step 6: Final answer
    x = 22,295.97

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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.