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Finding the Fourth Proportional to 77,439.96, 116,160.72 and 33,039

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Solution

The fourth proportional to 77,439.96, 116,160.72 and 33,039 is: 49,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,439.96 : 116,160.72 = 33,039 : x
  2. Step 2: Convert to fraction form
    77,439.96/116,160.72 = 33,039/x
  3. Step 3: Cross multiply
    77,439.96x = 116,160.72 × 33,039
  4. Step 4: Simplify right side
    77,439.96x = 3,837,834,028.08
  5. Step 5: Solve for x
    x = 3,837,834,028.08/77,439.96
  6. Step 6: Final answer
    x = 49,558.83

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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.