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Finding the Fourth Proportional to 64,613.97, 89,167.77 and 35,934.03

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Solution

The fourth proportional to 64,613.97, 89,167.77 and 35,934.03 is: 49,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,613.97 : 89,167.77 = 35,934.03 : x
  2. Step 2: Convert to fraction form
    64,613.97/89,167.77 = 35,934.03/x
  3. Step 3: Cross multiply
    64,613.97x = 89,167.77 × 35,934.03
  4. Step 4: Simplify right side
    64,613.97x = 3,204,157,322.21
  5. Step 5: Solve for x
    x = 3,204,157,322.21/64,613.97
  6. Step 6: Final answer
    x = 49,589.23

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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.