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Finding the Fourth Proportional to 29,874.49, 44,699.14 and 17,822.10

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Solution

The fourth proportional to 29,874.49, 44,699.14 and 17,822.10 is: 26,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.49 : 44,699.14 = 17,822.10 : x
  2. Step 2: Convert to fraction form
    29,874.49/44,699.14 = 17,822.10/x
  3. Step 3: Cross multiply
    29,874.49x = 44,699.14 × 17,822.10
  4. Step 4: Simplify right side
    29,874.49x = 796,632,542.99
  5. Step 5: Solve for x
    x = 796,632,542.99/29,874.49
  6. Step 6: Final answer
    x = 26,665.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.