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Finding the Fourth Proportional to 32,934.40, 49,401.73 and 7,974.42

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Solution

The fourth proportional to 32,934.40, 49,401.73 and 7,974.42 is: 11,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934.40 : 49,401.73 = 7,974.42 : x
  2. Step 2: Convert to fraction form
    32,934.40/49,401.73 = 7,974.42/x
  3. Step 3: Cross multiply
    32,934.40x = 49,401.73 × 7,974.42
  4. Step 4: Simplify right side
    32,934.40x = 393,949,968.46
  5. Step 5: Solve for x
    x = 393,949,968.46/32,934.40
  6. Step 6: Final answer
    x = 11,961.66

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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.