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Finding the Fourth Proportional to 29,699.29, 44,553.04 and 9,983.49

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Solution

The fourth proportional to 29,699.29, 44,553.04 and 9,983.49 is: 14,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699.29 : 44,553.04 = 9,983.49 : x
  2. Step 2: Convert to fraction form
    29,699.29/44,553.04 = 9,983.49/x
  3. Step 3: Cross multiply
    29,699.29x = 44,553.04 × 9,983.49
  4. Step 4: Simplify right side
    29,699.29x = 444,794,637.28
  5. Step 5: Solve for x
    x = 444,794,637.28/29,699.29
  6. Step 6: Final answer
    x = 14,976.61

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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.