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Finding the Fourth Proportional to 53,872.70, 80,771.48 and 23,870.62

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Solution

The fourth proportional to 53,872.70, 80,771.48 and 23,870.62 is: 35,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872.70 : 80,771.48 = 23,870.62 : x
  2. Step 2: Convert to fraction form
    53,872.70/80,771.48 = 23,870.62/x
  3. Step 3: Cross multiply
    53,872.70x = 80,771.48 × 23,870.62
  4. Step 4: Simplify right side
    53,872.70x = 1,928,065,305.92
  5. Step 5: Solve for x
    x = 1,928,065,305.92/53,872.70
  6. Step 6: Final answer
    x = 35,789.28

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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.