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Finding the Fourth Proportional to 70,676.35, 106,027.49 and 23,294.25

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Solution

The fourth proportional to 70,676.35, 106,027.49 and 23,294.25 is: 34,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.35 : 106,027.49 = 23,294.25 : x
  2. Step 2: Convert to fraction form
    70,676.35/106,027.49 = 23,294.25/x
  3. Step 3: Cross multiply
    70,676.35x = 106,027.49 × 23,294.25
  4. Step 4: Simplify right side
    70,676.35x = 2,469,830,917.17
  5. Step 5: Solve for x
    x = 2,469,830,917.17/70,676.35
  6. Step 6: Final answer
    x = 34,945.65

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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.