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Finding the Fourth Proportional to 27,972.30, 41,958.72 and 7,981.77

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Solution

The fourth proportional to 27,972.30, 41,958.72 and 7,981.77 is: 11,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.30 : 41,958.72 = 7,981.77 : x
  2. Step 2: Convert to fraction form
    27,972.30/41,958.72 = 7,981.77/x
  3. Step 3: Cross multiply
    27,972.30x = 41,958.72 × 7,981.77
  4. Step 4: Simplify right side
    27,972.30x = 334,904,852.53
  5. Step 5: Solve for x
    x = 334,904,852.53/27,972.30
  6. Step 6: Final answer
    x = 11,972.73

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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.