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Finding the Fourth Proportional to 75,963.52, 104,829.03 and 41,971.90

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Solution

The fourth proportional to 75,963.52, 104,829.03 and 41,971.90 is: 57,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,963.52 : 104,829.03 = 41,971.90 : x
  2. Step 2: Convert to fraction form
    75,963.52/104,829.03 = 41,971.90/x
  3. Step 3: Cross multiply
    75,963.52x = 104,829.03 × 41,971.90
  4. Step 4: Simplify right side
    75,963.52x = 4,399,873,564.26
  5. Step 5: Solve for x
    x = 4,399,873,564.26/75,963.52
  6. Step 6: Final answer
    x = 57,920.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.