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Finding the Fourth Proportional to 67,817.25, 101,731.41 and 34,065.91

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Solution

The fourth proportional to 67,817.25, 101,731.41 and 34,065.91 is: 51,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.25 : 101,731.41 = 34,065.91 : x
  2. Step 2: Convert to fraction form
    67,817.25/101,731.41 = 34,065.91/x
  3. Step 3: Cross multiply
    67,817.25x = 101,731.41 × 34,065.91
  4. Step 4: Simplify right side
    67,817.25x = 3,465,572,802.90
  5. Step 5: Solve for x
    x = 3,465,572,802.90/67,817.25
  6. Step 6: Final answer
    x = 51,101.64

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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.