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Finding the Fourth Proportional to 127,921.68, 191,882.52 and 34,425

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Solution

The fourth proportional to 127,921.68, 191,882.52 and 34,425 is: 51,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,921.68 : 191,882.52 = 34,425 : x
  2. Step 2: Convert to fraction form
    127,921.68/191,882.52 = 34,425/x
  3. Step 3: Cross multiply
    127,921.68x = 191,882.52 × 34,425
  4. Step 4: Simplify right side
    127,921.68x = 6,605,555,751
  5. Step 5: Solve for x
    x = 6,605,555,751/127,921.68
  6. Step 6: Final answer
    x = 51,637.50

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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.