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Finding the Fourth Proportional to 64,243.32, 96,323.86 and 30,896.97

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Solution

The fourth proportional to 64,243.32, 96,323.86 and 30,896.97 is: 46,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,243.32 : 96,323.86 = 30,896.97 : x
  2. Step 2: Convert to fraction form
    64,243.32/96,323.86 = 30,896.97/x
  3. Step 3: Cross multiply
    64,243.32x = 96,323.86 × 30,896.97
  4. Step 4: Simplify right side
    64,243.32x = 2,976,115,412.70
  5. Step 5: Solve for x
    x = 2,976,115,412.70/64,243.32
  6. Step 6: Final answer
    x = 46,325.68

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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.