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Finding the Fourth Proportional to 84,094.34, 126,141.17 and 27,938.66

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Solution

The fourth proportional to 84,094.34, 126,141.17 and 27,938.66 is: 41,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,094.34 : 126,141.17 = 27,938.66 : x
  2. Step 2: Convert to fraction form
    84,094.34/126,141.17 = 27,938.66/x
  3. Step 3: Cross multiply
    84,094.34x = 126,141.17 × 27,938.66
  4. Step 4: Simplify right side
    84,094.34x = 3,524,214,490.23
  5. Step 5: Solve for x
    x = 3,524,214,490.23/84,094.34
  6. Step 6: Final answer
    x = 41,907.87

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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.