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Finding the Fourth Proportional to 99,793.36, 149,564.94 and 49,887.46

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Solution

The fourth proportional to 99,793.36, 149,564.94 and 49,887.46 is: 74,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.36 : 149,564.94 = 49,887.46 : x
  2. Step 2: Convert to fraction form
    99,793.36/149,564.94 = 49,887.46/x
  3. Step 3: Cross multiply
    99,793.36x = 149,564.94 × 49,887.46
  4. Step 4: Simplify right side
    99,793.36x = 7,461,414,961.65
  5. Step 5: Solve for x
    x = 7,461,414,961.65/99,793.36
  6. Step 6: Final answer
    x = 74,768.65

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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.