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Finding the Fourth Proportional to 29,174, 40,269.04 and 17,077.31

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Solution

The fourth proportional to 29,174, 40,269.04 and 17,077.31 is: 23,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174 : 40,269.04 = 17,077.31 : x
  2. Step 2: Convert to fraction form
    29,174/40,269.04 = 17,077.31/x
  3. Step 3: Cross multiply
    29,174x = 40,269.04 × 17,077.31
  4. Step 4: Simplify right side
    29,174x = 687,686,879.48
  5. Step 5: Solve for x
    x = 687,686,879.48/29,174
  6. Step 6: Final answer
    x = 23,571.91

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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.