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Finding the Fourth Proportional to 29,919.38, 41,288.56 and 16,307.40

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Solution

The fourth proportional to 29,919.38, 41,288.56 and 16,307.40 is: 22,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,919.38 : 41,288.56 = 16,307.40 : x
  2. Step 2: Convert to fraction form
    29,919.38/41,288.56 = 16,307.40/x
  3. Step 3: Cross multiply
    29,919.38x = 41,288.56 × 16,307.40
  4. Step 4: Simplify right side
    29,919.38x = 673,309,107.15
  5. Step 5: Solve for x
    x = 673,309,107.15/29,919.38
  6. Step 6: Final answer
    x = 22,504.12

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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.