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Finding the Fourth Proportional to 103,347.68, 155,020.82 and 33,227.14

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Solution

The fourth proportional to 103,347.68, 155,020.82 and 33,227.14 is: 49,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,347.68 : 155,020.82 = 33,227.14 : x
  2. Step 2: Convert to fraction form
    103,347.68/155,020.82 = 33,227.14/x
  3. Step 3: Cross multiply
    103,347.68x = 155,020.82 × 33,227.14
  4. Step 4: Simplify right side
    103,347.68x = 5,150,898,489.05
  5. Step 5: Solve for x
    x = 5,150,898,489.05/103,347.68
  6. Step 6: Final answer
    x = 49,840.48

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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.