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Finding the Fourth Proportional to 39,748.26, 54,905.70 and 27,850.98

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Solution

The fourth proportional to 39,748.26, 54,905.70 and 27,850.98 is: 38,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,748.26 : 54,905.70 = 27,850.98 : x
  2. Step 2: Convert to fraction form
    39,748.26/54,905.70 = 27,850.98/x
  3. Step 3: Cross multiply
    39,748.26x = 54,905.70 × 27,850.98
  4. Step 4: Simplify right side
    39,748.26x = 1,529,177,552.59
  5. Step 5: Solve for x
    x = 1,529,177,552.59/39,748.26
  6. Step 6: Final answer
    x = 38,471.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.