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Finding the Fourth Proportional to 29,983, 44,976.66 and 11,515

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Solution

The fourth proportional to 29,983, 44,976.66 and 11,515 is: 17,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983 : 44,976.66 = 11,515 : x
  2. Step 2: Convert to fraction form
    29,983/44,976.66 = 11,515/x
  3. Step 3: Cross multiply
    29,983x = 44,976.66 × 11,515
  4. Step 4: Simplify right side
    29,983x = 517,906,239.90
  5. Step 5: Solve for x
    x = 517,906,239.90/29,983
  6. Step 6: Final answer
    x = 17,273.33

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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.