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Finding the Fourth Proportional to 96,051.48, 144,091.62 and 33,717

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Solution

The fourth proportional to 96,051.48, 144,091.62 and 33,717 is: 50,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,051.48 : 144,091.62 = 33,717 : x
  2. Step 2: Convert to fraction form
    96,051.48/144,091.62 = 33,717/x
  3. Step 3: Cross multiply
    96,051.48x = 144,091.62 × 33,717
  4. Step 4: Simplify right side
    96,051.48x = 4,858,337,151.54
  5. Step 5: Solve for x
    x = 4,858,337,151.54/96,051.48
  6. Step 6: Final answer
    x = 50,580.55

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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.