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Finding the Fourth Proportional to 32,941.75, 49,412.75 and 7,981.75

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Solution

The fourth proportional to 32,941.75, 49,412.75 and 7,981.75 is: 11,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.75 : 49,412.75 = 7,981.75 : x
  2. Step 2: Convert to fraction form
    32,941.75/49,412.75 = 7,981.75/x
  3. Step 3: Cross multiply
    32,941.75x = 49,412.75 × 7,981.75
  4. Step 4: Simplify right side
    32,941.75x = 394,400,217.31
  5. Step 5: Solve for x
    x = 394,400,217.31/32,941.75
  6. Step 6: Final answer
    x = 11,972.66

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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.