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Finding the Fourth Proportional to 34,933.84, 52,408.89 and 9,974.23

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Solution

The fourth proportional to 34,933.84, 52,408.89 and 9,974.23 is: 14,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,933.84 : 52,408.89 = 9,974.23 : x
  2. Step 2: Convert to fraction form
    34,933.84/52,408.89 = 9,974.23/x
  3. Step 3: Cross multiply
    34,933.84x = 52,408.89 × 9,974.23
  4. Step 4: Simplify right side
    34,933.84x = 522,738,191.88
  5. Step 5: Solve for x
    x = 522,738,191.88/34,933.84
  6. Step 6: Final answer
    x = 14,963.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.