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Finding the Fourth Proportional to 29,835, 41,173.49 and 17,893.98

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Solution

The fourth proportional to 29,835, 41,173.49 and 17,893.98 is: 24,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 41,173.49 = 17,893.98 : x
  2. Step 2: Convert to fraction form
    29,835/41,173.49 = 17,893.98/x
  3. Step 3: Cross multiply
    29,835x = 41,173.49 × 17,893.98
  4. Step 4: Simplify right side
    29,835x = 736,757,606.59
  5. Step 5: Solve for x
    x = 736,757,606.59/29,835
  6. Step 6: Final answer
    x = 24,694.41

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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.