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Finding the Fourth Proportional to 71,834.54, 107,640.05 and 27,437.06

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Solution

The fourth proportional to 71,834.54, 107,640.05 and 27,437.06 is: 41,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,834.54 : 107,640.05 = 27,437.06 : x
  2. Step 2: Convert to fraction form
    71,834.54/107,640.05 = 27,437.06/x
  3. Step 3: Cross multiply
    71,834.54x = 107,640.05 × 27,437.06
  4. Step 4: Simplify right side
    71,834.54x = 2,953,325,834.87
  5. Step 5: Solve for x
    x = 2,953,325,834.87/71,834.54
  6. Step 6: Final answer
    x = 41,112.90

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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.