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Finding the Fourth Proportional to 99,810.78, 149,665.95 and 33,227.16

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Solution

The fourth proportional to 99,810.78, 149,665.95 and 33,227.16 is: 49,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.78 : 149,665.95 = 33,227.16 : x
  2. Step 2: Convert to fraction form
    99,810.78/149,665.95 = 33,227.16/x
  3. Step 3: Cross multiply
    99,810.78x = 149,665.95 × 33,227.16
  4. Step 4: Simplify right side
    99,810.78x = 4,972,974,467.20
  5. Step 5: Solve for x
    x = 4,972,974,467.20/99,810.78
  6. Step 6: Final answer
    x = 49,824.02

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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.