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Finding the Fourth Proportional to 29,917.75, 44,876.63 and 8,029.75

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Solution

The fourth proportional to 29,917.75, 44,876.63 and 8,029.75 is: 12,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,917.75 : 44,876.63 = 8,029.75 : x
  2. Step 2: Convert to fraction form
    29,917.75/44,876.63 = 8,029.75/x
  3. Step 3: Cross multiply
    29,917.75x = 44,876.63 × 8,029.75
  4. Step 4: Simplify right side
    29,917.75x = 360,348,119.74
  5. Step 5: Solve for x
    x = 360,348,119.74/29,917.75
  6. Step 6: Final answer
    x = 12,044.63

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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.