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Finding the Fourth Proportional to 35,170, 52,727.48 and 18,508.24

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Solution

The fourth proportional to 35,170, 52,727.48 and 18,508.24 is: 27,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170 : 52,727.48 = 18,508.24 : x
  2. Step 2: Convert to fraction form
    35,170/52,727.48 = 18,508.24/x
  3. Step 3: Cross multiply
    35,170x = 52,727.48 × 18,508.24
  4. Step 4: Simplify right side
    35,170x = 975,892,854.44
  5. Step 5: Solve for x
    x = 975,892,854.44/35,170
  6. Step 6: Final answer
    x = 27,747.88

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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.