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Finding the Fourth Proportional to 67,782.11, 101,613 and 25,632.69

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Solution

The fourth proportional to 67,782.11, 101,613 and 25,632.69 is: 38,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782.11 : 101,613 = 25,632.69 : x
  2. Step 2: Convert to fraction form
    67,782.11/101,613 = 25,632.69/x
  3. Step 3: Cross multiply
    67,782.11x = 101,613 × 25,632.69
  4. Step 4: Simplify right side
    67,782.11x = 2,604,614,528.97
  5. Step 5: Solve for x
    x = 2,604,614,528.97/67,782.11
  6. Step 6: Final answer
    x = 38,426.29

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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.