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Finding the Fourth Proportional to 29,091.51, 40,143.89 and 16,344

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Solution

The fourth proportional to 29,091.51, 40,143.89 and 16,344 is: 22,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,091.51 : 40,143.89 = 16,344 : x
  2. Step 2: Convert to fraction form
    29,091.51/40,143.89 = 16,344/x
  3. Step 3: Cross multiply
    29,091.51x = 40,143.89 × 16,344
  4. Step 4: Simplify right side
    29,091.51x = 656,111,656.44
  5. Step 5: Solve for x
    x = 656,111,656.44/29,091.51
  6. Step 6: Final answer
    x = 22,553.37

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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.