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Finding the Fourth Proportional to 106,490.43, 159,675.71 and 35,375.00

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Solution

The fourth proportional to 106,490.43, 159,675.71 and 35,375.00 is: 53,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.43 : 159,675.71 = 35,375.00 : x
  2. Step 2: Convert to fraction form
    106,490.43/159,675.71 = 35,375.00/x
  3. Step 3: Cross multiply
    106,490.43x = 159,675.71 × 35,375.00
  4. Step 4: Simplify right side
    106,490.43x = 5,648,527,266.00
  5. Step 5: Solve for x
    x = 5,648,527,266.00/106,490.43
  6. Step 6: Final answer
    x = 53,042.58

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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.