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Finding the Fourth Proportional to 54,898.75, 75,760.37 and 29,748.25

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Solution

The fourth proportional to 54,898.75, 75,760.37 and 29,748.25 is: 41,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898.75 : 75,760.37 = 29,748.25 : x
  2. Step 2: Convert to fraction form
    54,898.75/75,760.37 = 29,748.25/x
  3. Step 3: Cross multiply
    54,898.75x = 75,760.37 × 29,748.25
  4. Step 4: Simplify right side
    54,898.75x = 2,253,738,426.85
  5. Step 5: Solve for x
    x = 2,253,738,426.85/54,898.75
  6. Step 6: Final answer
    x = 41,052.64

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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.