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Finding the Fourth Proportional to 29,871.38, 41,222.18 and 16,442.34

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Solution

The fourth proportional to 29,871.38, 41,222.18 and 16,442.34 is: 22,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.38 : 41,222.18 = 16,442.34 : x
  2. Step 2: Convert to fraction form
    29,871.38/41,222.18 = 16,442.34/x
  3. Step 3: Cross multiply
    29,871.38x = 41,222.18 × 16,442.34
  4. Step 4: Simplify right side
    29,871.38x = 677,789,099.10
  5. Step 5: Solve for x
    x = 677,789,099.10/29,871.38
  6. Step 6: Final answer
    x = 22,690.25

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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.