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Finding the Fourth Proportional to 70,939.96, 106,386.78 and 23,542.32

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Solution

The fourth proportional to 70,939.96, 106,386.78 and 23,542.32 is: 35,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,939.96 : 106,386.78 = 23,542.32 : x
  2. Step 2: Convert to fraction form
    70,939.96/106,386.78 = 23,542.32/x
  3. Step 3: Cross multiply
    70,939.96x = 106,386.78 × 23,542.32
  4. Step 4: Simplify right side
    70,939.96x = 2,504,591,618.53
  5. Step 5: Solve for x
    x = 2,504,591,618.53/70,939.96
  6. Step 6: Final answer
    x = 35,305.79

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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.