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Finding the Fourth Proportional to 96,274.92, 132,865.52 and 53,833.44

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Solution

The fourth proportional to 96,274.92, 132,865.52 and 53,833.44 is: 74,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274.92 : 132,865.52 = 53,833.44 : x
  2. Step 2: Convert to fraction form
    96,274.92/132,865.52 = 53,833.44/x
  3. Step 3: Cross multiply
    96,274.92x = 132,865.52 × 53,833.44
  4. Step 4: Simplify right side
    96,274.92x = 7,152,607,998.99
  5. Step 5: Solve for x
    x = 7,152,607,998.99/96,274.92
  6. Step 6: Final answer
    x = 74,293.58

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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.