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Finding the Fourth Proportional to 29,977.20, 44,961.84 and 7,792.11

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Solution

The fourth proportional to 29,977.20, 44,961.84 and 7,792.11 is: 11,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.20 : 44,961.84 = 7,792.11 : x
  2. Step 2: Convert to fraction form
    29,977.20/44,961.84 = 7,792.11/x
  3. Step 3: Cross multiply
    29,977.20x = 44,961.84 × 7,792.11
  4. Step 4: Simplify right side
    29,977.20x = 350,347,603.08
  5. Step 5: Solve for x
    x = 350,347,603.08/29,977.20
  6. Step 6: Final answer
    x = 11,687.14

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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.