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Finding the Fourth Proportional to 96,976, 133,812.30 and 54,533.62

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Solution

The fourth proportional to 96,976, 133,812.30 and 54,533.62 is: 75,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,976 : 133,812.30 = 54,533.62 : x
  2. Step 2: Convert to fraction form
    96,976/133,812.30 = 54,533.62/x
  3. Step 3: Cross multiply
    96,976x = 133,812.30 × 54,533.62
  4. Step 4: Simplify right side
    96,976x = 7,297,269,119.53
  5. Step 5: Solve for x
    x = 7,297,269,119.53/96,976
  6. Step 6: Final answer
    x = 75,248.20

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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.