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Finding the Fourth Proportional to 64,211.82, 96,357.83 and 46,201.88

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Solution

The fourth proportional to 64,211.82, 96,357.83 and 46,201.88 is: 69,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.82 : 96,357.83 = 46,201.88 : x
  2. Step 2: Convert to fraction form
    64,211.82/96,357.83 = 46,201.88/x
  3. Step 3: Cross multiply
    64,211.82x = 96,357.83 × 46,201.88
  4. Step 4: Simplify right side
    64,211.82x = 4,451,912,185.92
  5. Step 5: Solve for x
    x = 4,451,912,185.92/64,211.82
  6. Step 6: Final answer
    x = 69,331.66

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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.