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Finding the Fourth Proportional to 67,986.36, 101,968.98 and 34,731

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Solution

The fourth proportional to 67,986.36, 101,968.98 and 34,731 is: 52,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,986.36 : 101,968.98 = 34,731 : x
  2. Step 2: Convert to fraction form
    67,986.36/101,968.98 = 34,731/x
  3. Step 3: Cross multiply
    67,986.36x = 101,968.98 × 34,731
  4. Step 4: Simplify right side
    67,986.36x = 3,541,484,644.38
  5. Step 5: Solve for x
    x = 3,541,484,644.38/67,986.36
  6. Step 6: Final answer
    x = 52,091.11

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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.