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Finding the Fourth Proportional to 29,009.76, 43,514.56 and 8,233.28

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Solution

The fourth proportional to 29,009.76, 43,514.56 and 8,233.28 is: 12,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009.76 : 43,514.56 = 8,233.28 : x
  2. Step 2: Convert to fraction form
    29,009.76/43,514.56 = 8,233.28/x
  3. Step 3: Cross multiply
    29,009.76x = 43,514.56 × 8,233.28
  4. Step 4: Simplify right side
    29,009.76x = 358,267,556.56
  5. Step 5: Solve for x
    x = 358,267,556.56/29,009.76
  6. Step 6: Final answer
    x = 12,349.90

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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.