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Finding the Fourth Proportional to 127,993.32, 191,970.54 and 49,144.68

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Solution

The fourth proportional to 127,993.32, 191,970.54 and 49,144.68 is: 73,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,993.32 : 191,970.54 = 49,144.68 : x
  2. Step 2: Convert to fraction form
    127,993.32/191,970.54 = 49,144.68/x
  3. Step 3: Cross multiply
    127,993.32x = 191,970.54 × 49,144.68
  4. Step 4: Simplify right side
    127,993.32x = 9,434,330,757.73
  5. Step 5: Solve for x
    x = 9,434,330,757.73/127,993.32
  6. Step 6: Final answer
    x = 73,709.56

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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.