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Finding the Fourth Proportional to 99,773.31, 149,627.69 and 33,195.56

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Solution

The fourth proportional to 99,773.31, 149,627.69 and 33,195.56 is: 49,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,773.31 : 149,627.69 = 33,195.56 : x
  2. Step 2: Convert to fraction form
    99,773.31/149,627.69 = 33,195.56/x
  3. Step 3: Cross multiply
    99,773.31x = 149,627.69 × 33,195.56
  4. Step 4: Simplify right side
    99,773.31x = 4,966,974,961.06
  5. Step 5: Solve for x
    x = 4,966,974,961.06/99,773.31
  6. Step 6: Final answer
    x = 49,782.60

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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.