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Finding the Fourth Proportional to 34,494, 51,744.24 and 14,768.16

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Solution

The fourth proportional to 34,494, 51,744.24 and 14,768.16 is: 22,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494 : 51,744.24 = 14,768.16 : x
  2. Step 2: Convert to fraction form
    34,494/51,744.24 = 14,768.16/x
  3. Step 3: Cross multiply
    34,494x = 51,744.24 × 14,768.16
  4. Step 4: Simplify right side
    34,494x = 764,167,215.40
  5. Step 5: Solve for x
    x = 764,167,215.40/34,494
  6. Step 6: Final answer
    x = 22,153.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.