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Finding the Fourth Proportional to 29,838.38, 41,176.15 and 16,409.64

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Solution

The fourth proportional to 29,838.38, 41,176.15 and 16,409.64 is: 22,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.38 : 41,176.15 = 16,409.64 : x
  2. Step 2: Convert to fraction form
    29,838.38/41,176.15 = 16,409.64/x
  3. Step 3: Cross multiply
    29,838.38x = 41,176.15 × 16,409.64
  4. Step 4: Simplify right side
    29,838.38x = 675,685,633.49
  5. Step 5: Solve for x
    x = 675,685,633.49/29,838.38
  6. Step 6: Final answer
    x = 22,644.85

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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.