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Finding the Fourth Proportional to 68,202.81, 102,399.90 and 34,946.74

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Solution

The fourth proportional to 68,202.81, 102,399.90 and 34,946.74 is: 52,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,202.81 : 102,399.90 = 34,946.74 : x
  2. Step 2: Convert to fraction form
    68,202.81/102,399.90 = 34,946.74/x
  3. Step 3: Cross multiply
    68,202.81x = 102,399.90 × 34,946.74
  4. Step 4: Simplify right side
    68,202.81x = 3,578,542,678.28
  5. Step 5: Solve for x
    x = 3,578,542,678.28/68,202.81
  6. Step 6: Final answer
    x = 52,469.14

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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.