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Finding the Fourth Proportional to 29,138.60, 40,210.10 and 17,205.78

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Solution

The fourth proportional to 29,138.60, 40,210.10 and 17,205.78 is: 23,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.60 : 40,210.10 = 17,205.78 : x
  2. Step 2: Convert to fraction form
    29,138.60/40,210.10 = 17,205.78/x
  3. Step 3: Cross multiply
    29,138.60x = 40,210.10 × 17,205.78
  4. Step 4: Simplify right side
    29,138.60x = 691,846,134.38
  5. Step 5: Solve for x
    x = 691,846,134.38/29,138.60
  6. Step 6: Final answer
    x = 23,743.29

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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.