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Finding the Fourth Proportional to 96,395.75, 133,027.78 and 52,792.14

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Solution

The fourth proportional to 96,395.75, 133,027.78 and 52,792.14 is: 72,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,395.75 : 133,027.78 = 52,792.14 : x
  2. Step 2: Convert to fraction form
    96,395.75/133,027.78 = 52,792.14/x
  3. Step 3: Cross multiply
    96,395.75x = 133,027.78 × 52,792.14
  4. Step 4: Simplify right side
    96,395.75x = 7,022,821,185.65
  5. Step 5: Solve for x
    x = 7,022,821,185.65/96,395.75
  6. Step 6: Final answer
    x = 72,854.05

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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.