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Finding the Fourth Proportional to 96,592.50, 144,893.61 and 34,267.86

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Solution

The fourth proportional to 96,592.50, 144,893.61 and 34,267.86 is: 51,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592.50 : 144,893.61 = 34,267.86 : x
  2. Step 2: Convert to fraction form
    96,592.50/144,893.61 = 34,267.86/x
  3. Step 3: Cross multiply
    96,592.50x = 144,893.61 × 34,267.86
  4. Step 4: Simplify right side
    96,592.50x = 4,965,193,942.37
  5. Step 5: Solve for x
    x = 4,965,193,942.37/96,592.50
  6. Step 6: Final answer
    x = 51,403.51

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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.