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Finding the Fourth Proportional to 106,086.33, 159,031.08 and 35,916.57

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Solution

The fourth proportional to 106,086.33, 159,031.08 and 35,916.57 is: 53,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086.33 : 159,031.08 = 35,916.57 : x
  2. Step 2: Convert to fraction form
    106,086.33/159,031.08 = 35,916.57/x
  3. Step 3: Cross multiply
    106,086.33x = 159,031.08 × 35,916.57
  4. Step 4: Simplify right side
    106,086.33x = 5,711,850,917.00
  5. Step 5: Solve for x
    x = 5,711,850,917.00/106,086.33
  6. Step 6: Final answer
    x = 53,841.54

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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.