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Finding the Fourth Proportional to 103,615.51, 155,419.62 and 33,493

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Solution

The fourth proportional to 103,615.51, 155,419.62 and 33,493 is: 50,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615.51 : 155,419.62 = 33,493 : x
  2. Step 2: Convert to fraction form
    103,615.51/155,419.62 = 33,493/x
  3. Step 3: Cross multiply
    103,615.51x = 155,419.62 × 33,493
  4. Step 4: Simplify right side
    103,615.51x = 5,205,469,332.66
  5. Step 5: Solve for x
    x = 5,205,469,332.66/103,615.51
  6. Step 6: Final answer
    x = 50,238.32

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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.