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Finding the Fourth Proportional to 70,942.31, 106,479.89 and 35,906.57

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Solution

The fourth proportional to 70,942.31, 106,479.89 and 35,906.57 is: 53,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,942.31 : 106,479.89 = 35,906.57 : x
  2. Step 2: Convert to fraction form
    70,942.31/106,479.89 = 35,906.57/x
  3. Step 3: Cross multiply
    70,942.31x = 106,479.89 × 35,906.57
  4. Step 4: Simplify right side
    70,942.31x = 3,823,326,911.95
  5. Step 5: Solve for x
    x = 3,823,326,911.95/70,942.31
  6. Step 6: Final answer
    x = 53,893.47

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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.