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Finding the Fourth Proportional to 96,454.56, 144,687.30 and 33,277.59

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Solution

The fourth proportional to 96,454.56, 144,687.30 and 33,277.59 is: 49,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,454.56 : 144,687.30 = 33,277.59 : x
  2. Step 2: Convert to fraction form
    96,454.56/144,687.30 = 33,277.59/x
  3. Step 3: Cross multiply
    96,454.56x = 144,687.30 × 33,277.59
  4. Step 4: Simplify right side
    96,454.56x = 4,814,844,647.61
  5. Step 5: Solve for x
    x = 4,814,844,647.61/96,454.56
  6. Step 6: Final answer
    x = 49,918.27

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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.