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Finding the Fourth Proportional to 35,997.23, 49,677.17 and 22,567.23

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Solution

The fourth proportional to 35,997.23, 49,677.17 and 22,567.23 is: 31,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.23 : 49,677.17 = 22,567.23 : x
  2. Step 2: Convert to fraction form
    35,997.23/49,677.17 = 22,567.23/x
  3. Step 3: Cross multiply
    35,997.23x = 49,677.17 × 22,567.23
  4. Step 4: Simplify right side
    35,997.23x = 1,121,076,008.30
  5. Step 5: Solve for x
    x = 1,121,076,008.30/35,997.23
  6. Step 6: Final answer
    x = 31,143.39

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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.