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Finding the Fourth Proportional to 29,869.38, 41,219.43 and 16,440.35

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Solution

The fourth proportional to 29,869.38, 41,219.43 and 16,440.35 is: 22,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,869.38 : 41,219.43 = 16,440.35 : x
  2. Step 2: Convert to fraction form
    29,869.38/41,219.43 = 16,440.35/x
  3. Step 3: Cross multiply
    29,869.38x = 41,219.43 × 16,440.35
  4. Step 4: Simplify right side
    29,869.38x = 677,661,856.00
  5. Step 5: Solve for x
    x = 677,661,856.00/29,869.38
  6. Step 6: Final answer
    x = 22,687.51

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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.