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Finding the Fourth Proportional to 127,944, 191,916 and 34,449.75

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Solution

The fourth proportional to 127,944, 191,916 and 34,449.75 is: 51,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,944 : 191,916 = 34,449.75 : x
  2. Step 2: Convert to fraction form
    127,944/191,916 = 34,449.75/x
  3. Step 3: Cross multiply
    127,944x = 191,916 × 34,449.75
  4. Step 4: Simplify right side
    127,944x = 6,611,458,221
  5. Step 5: Solve for x
    x = 6,611,458,221/127,944
  6. Step 6: Final answer
    x = 51,674.63

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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.