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Finding the Fourth Proportional to 47,229, 65,175.03 and 26,008.44

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Solution

The fourth proportional to 47,229, 65,175.03 and 26,008.44 is: 35,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229 : 65,175.03 = 26,008.44 : x
  2. Step 2: Convert to fraction form
    47,229/65,175.03 = 26,008.44/x
  3. Step 3: Cross multiply
    47,229x = 65,175.03 × 26,008.44
  4. Step 4: Simplify right side
    47,229x = 1,695,100,857.25
  5. Step 5: Solve for x
    x = 1,695,100,857.25/47,229
  6. Step 6: Final answer
    x = 35,891.10

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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.