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Finding the Fourth Proportional to 49,058.51, 73,591.79 and 20,978.80

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Solution

The fourth proportional to 49,058.51, 73,591.79 and 20,978.80 is: 31,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,058.51 : 73,591.79 = 20,978.80 : x
  2. Step 2: Convert to fraction form
    49,058.51/73,591.79 = 20,978.80/x
  3. Step 3: Cross multiply
    49,058.51x = 73,591.79 × 20,978.80
  4. Step 4: Simplify right side
    49,058.51x = 1,543,867,273.18
  5. Step 5: Solve for x
    x = 1,543,867,273.18/49,058.51
  6. Step 6: Final answer
    x = 31,469.92

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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.