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Finding the Fourth Proportional to 100,551.43, 150,597.50 and 47,997.82

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Solution

The fourth proportional to 100,551.43, 150,597.50 and 47,997.82 is: 71,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551.43 : 150,597.50 = 47,997.82 : x
  2. Step 2: Convert to fraction form
    100,551.43/150,597.50 = 47,997.82/x
  3. Step 3: Cross multiply
    100,551.43x = 150,597.50 × 47,997.82
  4. Step 4: Simplify right side
    100,551.43x = 7,228,351,203.58
  5. Step 5: Solve for x
    x = 7,228,351,203.58/100,551.43
  6. Step 6: Final answer
    x = 71,887.11

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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.