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Finding the Fourth Proportional to 103,234.56, 154,872 and 33,108.48

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Solution

The fourth proportional to 103,234.56, 154,872 and 33,108.48 is: 49,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234.56 : 154,872 = 33,108.48 : x
  2. Step 2: Convert to fraction form
    103,234.56/154,872 = 33,108.48/x
  3. Step 3: Cross multiply
    103,234.56x = 154,872 × 33,108.48
  4. Step 4: Simplify right side
    103,234.56x = 5,127,576,514.56
  5. Step 5: Solve for x
    x = 5,127,576,514.56/103,234.56
  6. Step 6: Final answer
    x = 49,669.19

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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.