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Finding the Fourth Proportional to 29,731.68, 41,029.38 and 17,156.16

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Solution

The fourth proportional to 29,731.68, 41,029.38 and 17,156.16 is: 23,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.68 : 41,029.38 = 17,156.16 : x
  2. Step 2: Convert to fraction form
    29,731.68/41,029.38 = 17,156.16/x
  3. Step 3: Cross multiply
    29,731.68x = 41,029.38 × 17,156.16
  4. Step 4: Simplify right side
    29,731.68x = 703,906,607.98
  5. Step 5: Solve for x
    x = 703,906,607.98/29,731.68
  6. Step 6: Final answer
    x = 23,675.31

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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.