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Finding the Fourth Proportional to 96,231.66, 144,311.58 and 33,033.87

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Solution

The fourth proportional to 96,231.66, 144,311.58 and 33,033.87 is: 49,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,231.66 : 144,311.58 = 33,033.87 : x
  2. Step 2: Convert to fraction form
    96,231.66/144,311.58 = 33,033.87/x
  3. Step 3: Cross multiply
    96,231.66x = 144,311.58 × 33,033.87
  4. Step 4: Simplify right side
    96,231.66x = 4,767,169,973.21
  5. Step 5: Solve for x
    x = 4,767,169,973.21/96,231.66
  6. Step 6: Final answer
    x = 49,538.48

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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.