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Finding the Fourth Proportional to 67,757.17, 101,698.14 and 34,501

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Solution

The fourth proportional to 67,757.17, 101,698.14 and 34,501 is: 51,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,757.17 : 101,698.14 = 34,501 : x
  2. Step 2: Convert to fraction form
    67,757.17/101,698.14 = 34,501/x
  3. Step 3: Cross multiply
    67,757.17x = 101,698.14 × 34,501
  4. Step 4: Simplify right side
    67,757.17x = 3,508,687,528.14
  5. Step 5: Solve for x
    x = 3,508,687,528.14/67,757.17
  6. Step 6: Final answer
    x = 51,783.27

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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.