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Finding the Fourth Proportional to 96,894.50, 145,214.17 and 51,910.64

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Solution

The fourth proportional to 96,894.50, 145,214.17 and 51,910.64 is: 77,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,894.50 : 145,214.17 = 51,910.64 : x
  2. Step 2: Convert to fraction form
    96,894.50/145,214.17 = 51,910.64/x
  3. Step 3: Cross multiply
    96,894.50x = 145,214.17 × 51,910.64
  4. Step 4: Simplify right side
    96,894.50x = 7,538,160,190.47
  5. Step 5: Solve for x
    x = 7,538,160,190.47/96,894.50
  6. Step 6: Final answer
    x = 77,797.61

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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.