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Finding the Fourth Proportional to 32,934.50, 49,401.86 and 7,974.50

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Solution

The fourth proportional to 32,934.50, 49,401.86 and 7,974.50 is: 11,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934.50 : 49,401.86 = 7,974.50 : x
  2. Step 2: Convert to fraction form
    32,934.50/49,401.86 = 7,974.50/x
  3. Step 3: Cross multiply
    32,934.50x = 49,401.86 × 7,974.50
  4. Step 4: Simplify right side
    32,934.50x = 393,955,132.57
  5. Step 5: Solve for x
    x = 393,955,132.57/32,934.50
  6. Step 6: Final answer
    x = 11,961.78

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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.