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Finding the Fourth Proportional to 96,350.50, 132,963.69 and 53,917.23

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Solution

The fourth proportional to 96,350.50, 132,963.69 and 53,917.23 is: 74,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,350.50 : 132,963.69 = 53,917.23 : x
  2. Step 2: Convert to fraction form
    96,350.50/132,963.69 = 53,917.23/x
  3. Step 3: Cross multiply
    96,350.50x = 132,963.69 × 53,917.23
  4. Step 4: Simplify right side
    96,350.50x = 7,169,033,855.38
  5. Step 5: Solve for x
    x = 7,169,033,855.38/96,350.50
  6. Step 6: Final answer
    x = 74,405.78

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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.