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Finding the Fourth Proportional to 35,997.69, 49,678.17 and 20,085.24

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Solution

The fourth proportional to 35,997.69, 49,678.17 and 20,085.24 is: 27,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.69 : 49,678.17 = 20,085.24 : x
  2. Step 2: Convert to fraction form
    35,997.69/49,678.17 = 20,085.24/x
  3. Step 3: Cross multiply
    35,997.69x = 49,678.17 × 20,085.24
  4. Step 4: Simplify right side
    35,997.69x = 997,797,967.21
  5. Step 5: Solve for x
    x = 997,797,967.21/35,997.69
  6. Step 6: Final answer
    x = 27,718.39

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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.