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Finding the Fourth Proportional to 29,514.50, 44,280.42 and 8,738.54

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Solution

The fourth proportional to 29,514.50, 44,280.42 and 8,738.54 is: 13,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.50 : 44,280.42 = 8,738.54 : x
  2. Step 2: Convert to fraction form
    29,514.50/44,280.42 = 8,738.54/x
  3. Step 3: Cross multiply
    29,514.50x = 44,280.42 × 8,738.54
  4. Step 4: Simplify right side
    29,514.50x = 386,946,221.39
  5. Step 5: Solve for x
    x = 386,946,221.39/29,514.50
  6. Step 6: Final answer
    x = 13,110.38

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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.