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Finding the Fourth Proportional to 96,969.76, 133,819.90 and 53,952.68

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Solution

The fourth proportional to 96,969.76, 133,819.90 and 53,952.68 is: 74,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969.76 : 133,819.90 = 53,952.68 : x
  2. Step 2: Convert to fraction form
    96,969.76/133,819.90 = 53,952.68/x
  3. Step 3: Cross multiply
    96,969.76x = 133,819.90 × 53,952.68
  4. Step 4: Simplify right side
    96,969.76x = 7,219,942,442.00
  5. Step 5: Solve for x
    x = 7,219,942,442.00/96,969.76
  6. Step 6: Final answer
    x = 74,455.61

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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.