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Finding the Fourth Proportional to 127,996.54, 191,981.84 and 34,511.74

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Solution

The fourth proportional to 127,996.54, 191,981.84 and 34,511.74 is: 51,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996.54 : 191,981.84 = 34,511.74 : x
  2. Step 2: Convert to fraction form
    127,996.54/191,981.84 = 34,511.74/x
  3. Step 3: Cross multiply
    127,996.54x = 191,981.84 × 34,511.74
  4. Step 4: Simplify right side
    127,996.54x = 6,625,627,346.80
  5. Step 5: Solve for x
    x = 6,625,627,346.80/127,996.54
  6. Step 6: Final answer
    x = 51,764.11

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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.