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Finding the Fourth Proportional to 70,449.25, 105,687.69 and 26,076.38

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Solution

The fourth proportional to 70,449.25, 105,687.69 and 26,076.38 is: 39,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.25 : 105,687.69 = 26,076.38 : x
  2. Step 2: Convert to fraction form
    70,449.25/105,687.69 = 26,076.38/x
  3. Step 3: Cross multiply
    70,449.25x = 105,687.69 × 26,076.38
  4. Step 4: Simplify right side
    70,449.25x = 2,755,952,365.76
  5. Step 5: Solve for x
    x = 2,755,952,365.76/70,449.25
  6. Step 6: Final answer
    x = 39,119.68

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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.