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Finding the Fourth Proportional to 79,768.16, 119,651.92 and 29,852

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Solution

The fourth proportional to 79,768.16, 119,651.92 and 29,852 is: 44,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,768.16 : 119,651.92 = 29,852 : x
  2. Step 2: Convert to fraction form
    79,768.16/119,651.92 = 29,852/x
  3. Step 3: Cross multiply
    79,768.16x = 119,651.92 × 29,852
  4. Step 4: Simplify right side
    79,768.16x = 3,571,849,115.84
  5. Step 5: Solve for x
    x = 3,571,849,115.84/79,768.16
  6. Step 6: Final answer
    x = 44,777.88

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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.