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Finding the Fourth Proportional to 97,963.30, 135,200.69 and 54,954.60

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Solution

The fourth proportional to 97,963.30, 135,200.69 and 54,954.60 is: 75,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963.30 : 135,200.69 = 54,954.60 : x
  2. Step 2: Convert to fraction form
    97,963.30/135,200.69 = 54,954.60/x
  3. Step 3: Cross multiply
    97,963.30x = 135,200.69 × 54,954.60
  4. Step 4: Simplify right side
    97,963.30x = 7,429,899,838.67
  5. Step 5: Solve for x
    x = 7,429,899,838.67/97,963.30
  6. Step 6: Final answer
    x = 75,843.71

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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.