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Finding the Fourth Proportional to 34,757.41, 52,149.17 and 16,046.41

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Solution

The fourth proportional to 34,757.41, 52,149.17 and 16,046.41 is: 24,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757.41 : 52,149.17 = 16,046.41 : x
  2. Step 2: Convert to fraction form
    34,757.41/52,149.17 = 16,046.41/x
  3. Step 3: Cross multiply
    34,757.41x = 52,149.17 × 16,046.41
  4. Step 4: Simplify right side
    34,757.41x = 836,806,962.98
  5. Step 5: Solve for x
    x = 836,806,962.98/34,757.41
  6. Step 6: Final answer
    x = 24,075.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.