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Finding the Fourth Proportional to 85,682.56, 128,491.92 and 29,507.04

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Solution

The fourth proportional to 85,682.56, 128,491.92 and 29,507.04 is: 44,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,682.56 : 128,491.92 = 29,507.04 : x
  2. Step 2: Convert to fraction form
    85,682.56/128,491.92 = 29,507.04/x
  3. Step 3: Cross multiply
    85,682.56x = 128,491.92 × 29,507.04
  4. Step 4: Simplify right side
    85,682.56x = 3,791,416,223.12
  5. Step 5: Solve for x
    x = 3,791,416,223.12/85,682.56
  6. Step 6: Final answer
    x = 44,249.57

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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.