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Finding the Fourth Proportional to 29,531.98, 40,753.38 and 16,103.26

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Solution

The fourth proportional to 29,531.98, 40,753.38 and 16,103.26 is: 22,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.98 : 40,753.38 = 16,103.26 : x
  2. Step 2: Convert to fraction form
    29,531.98/40,753.38 = 16,103.26/x
  3. Step 3: Cross multiply
    29,531.98x = 40,753.38 × 16,103.26
  4. Step 4: Simplify right side
    29,531.98x = 656,262,274.02
  5. Step 5: Solve for x
    x = 656,262,274.02/29,531.98
  6. Step 6: Final answer
    x = 22,222.09

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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.