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Finding the Fourth Proportional to 53,469.75, 73,785.72 and 29,270.25

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Solution

The fourth proportional to 53,469.75, 73,785.72 and 29,270.25 is: 40,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469.75 : 73,785.72 = 29,270.25 : x
  2. Step 2: Convert to fraction form
    53,469.75/73,785.72 = 29,270.25/x
  3. Step 3: Cross multiply
    53,469.75x = 73,785.72 × 29,270.25
  4. Step 4: Simplify right side
    53,469.75x = 2,159,726,470.83
  5. Step 5: Solve for x
    x = 2,159,726,470.83/53,469.75
  6. Step 6: Final answer
    x = 40,391.56

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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.