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Finding the Fourth Proportional to 127,930.68, 191,896.02 and 34,434

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Solution

The fourth proportional to 127,930.68, 191,896.02 and 34,434 is: 51,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,930.68 : 191,896.02 = 34,434 : x
  2. Step 2: Convert to fraction form
    127,930.68/191,896.02 = 34,434/x
  3. Step 3: Cross multiply
    127,930.68x = 191,896.02 × 34,434
  4. Step 4: Simplify right side
    127,930.68x = 6,607,747,552.68
  5. Step 5: Solve for x
    x = 6,607,747,552.68/127,930.68
  6. Step 6: Final answer
    x = 51,651

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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.