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Finding the Fourth Proportional to 55,524.50, 76,625.04 and 30,374

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Solution

The fourth proportional to 55,524.50, 76,625.04 and 30,374 is: 41,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,524.50 : 76,625.04 = 30,374 : x
  2. Step 2: Convert to fraction form
    55,524.50/76,625.04 = 30,374/x
  3. Step 3: Cross multiply
    55,524.50x = 76,625.04 × 30,374
  4. Step 4: Simplify right side
    55,524.50x = 2,327,408,964.96
  5. Step 5: Solve for x
    x = 2,327,408,964.96/55,524.50
  6. Step 6: Final answer
    x = 41,916.79

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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.