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Finding the Fourth Proportional to 35,229.66, 48,642.44 and 22,676.28

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Solution

The fourth proportional to 35,229.66, 48,642.44 and 22,676.28 is: 31,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,229.66 : 48,642.44 = 22,676.28 : x
  2. Step 2: Convert to fraction form
    35,229.66/48,642.44 = 22,676.28/x
  3. Step 3: Cross multiply
    35,229.66x = 48,642.44 × 22,676.28
  4. Step 4: Simplify right side
    35,229.66x = 1,103,029,421.09
  5. Step 5: Solve for x
    x = 1,103,029,421.09/35,229.66
  6. Step 6: Final answer
    x = 31,309.68

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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.