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Finding the Fourth Proportional to 127,843.82, 191,793.40 and 48,958.05

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Solution

The fourth proportional to 127,843.82, 191,793.40 and 48,958.05 is: 73,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,843.82 : 191,793.40 = 48,958.05 : x
  2. Step 2: Convert to fraction form
    127,843.82/191,793.40 = 48,958.05/x
  3. Step 3: Cross multiply
    127,843.82x = 191,793.40 × 48,958.05
  4. Step 4: Simplify right side
    127,843.82x = 9,389,830,866.87
  5. Step 5: Solve for x
    x = 9,389,830,866.87/127,843.82
  6. Step 6: Final answer
    x = 73,447.67

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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.