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Finding the Fourth Proportional to 29,942.16, 44,922.96 and 14,361

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Solution

The fourth proportional to 29,942.16, 44,922.96 and 14,361 is: 21,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.16 : 44,922.96 = 14,361 : x
  2. Step 2: Convert to fraction form
    29,942.16/44,922.96 = 14,361/x
  3. Step 3: Cross multiply
    29,942.16x = 44,922.96 × 14,361
  4. Step 4: Simplify right side
    29,942.16x = 645,138,628.56
  5. Step 5: Solve for x
    x = 645,138,628.56/29,942.16
  6. Step 6: Final answer
    x = 21,546.16

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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.