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Finding the Fourth Proportional to 70,199.92, 96,918.42 and 46,366.48

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Solution

The fourth proportional to 70,199.92, 96,918.42 and 46,366.48 is: 64,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,199.92 : 96,918.42 = 46,366.48 : x
  2. Step 2: Convert to fraction form
    70,199.92/96,918.42 = 46,366.48/x
  3. Step 3: Cross multiply
    70,199.92x = 96,918.42 × 46,366.48
  4. Step 4: Simplify right side
    70,199.92x = 4,493,765,982.56
  5. Step 5: Solve for x
    x = 4,493,765,982.56/70,199.92
  6. Step 6: Final answer
    x = 64,013.83

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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.