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Finding the Fourth Proportional to 73,261.82, 109,812.00 and 47,930.90

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Solution

The fourth proportional to 73,261.82, 109,812.00 and 47,930.90 is: 71,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,261.82 : 109,812.00 = 47,930.90 : x
  2. Step 2: Convert to fraction form
    73,261.82/109,812.00 = 47,930.90/x
  3. Step 3: Cross multiply
    73,261.82x = 109,812.00 × 47,930.90
  4. Step 4: Simplify right side
    73,261.82x = 5,263,387,621.48
  5. Step 5: Solve for x
    x = 5,263,387,621.48/73,261.82
  6. Step 6: Final answer
    x = 71,843.53

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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.