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Finding the Fourth Proportional to 70,683.29, 106,042.37 and 35,161.46

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Solution

The fourth proportional to 70,683.29, 106,042.37 and 35,161.46 is: 52,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,683.29 : 106,042.37 = 35,161.46 : x
  2. Step 2: Convert to fraction form
    70,683.29/106,042.37 = 35,161.46/x
  3. Step 3: Cross multiply
    70,683.29x = 106,042.37 × 35,161.46
  4. Step 4: Simplify right side
    70,683.29x = 3,728,603,845.04
  5. Step 5: Solve for x
    x = 3,728,603,845.04/70,683.29
  6. Step 6: Final answer
    x = 52,750.86

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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.