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Finding the Fourth Proportional to 71,833.49, 107,640.87 and 34,342.03

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Solution

The fourth proportional to 71,833.49, 107,640.87 and 34,342.03 is: 51,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.49 : 107,640.87 = 34,342.03 : x
  2. Step 2: Convert to fraction form
    71,833.49/107,640.87 = 34,342.03/x
  3. Step 3: Cross multiply
    71,833.49x = 107,640.87 × 34,342.03
  4. Step 4: Simplify right side
    71,833.49x = 3,696,605,448.56
  5. Step 5: Solve for x
    x = 3,696,605,448.56/71,833.49
  6. Step 6: Final answer
    x = 51,460.76

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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.