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Finding the Fourth Proportional to 55,016, 82,524 and 30,392

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Solution

The fourth proportional to 55,016, 82,524 and 30,392 is: 45,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,016 : 82,524 = 30,392 : x
  2. Step 2: Convert to fraction form
    55,016/82,524 = 30,392/x
  3. Step 3: Cross multiply
    55,016x = 82,524 × 30,392
  4. Step 4: Simplify right side
    55,016x = 2,508,069,408
  5. Step 5: Solve for x
    x = 2,508,069,408/55,016
  6. Step 6: Final answer
    x = 45,588

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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.