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Finding the Fourth Proportional to 75,682.65, 113,522.74 and 25,797.48

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Solution

The fourth proportional to 75,682.65, 113,522.74 and 25,797.48 is: 38,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682.65 : 113,522.74 = 25,797.48 : x
  2. Step 2: Convert to fraction form
    75,682.65/113,522.74 = 25,797.48/x
  3. Step 3: Cross multiply
    75,682.65x = 113,522.74 × 25,797.48
  4. Step 4: Simplify right side
    75,682.65x = 2,928,600,614.70
  5. Step 5: Solve for x
    x = 2,928,600,614.70/75,682.65
  6. Step 6: Final answer
    x = 38,695.80

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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.