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Finding the Fourth Proportional to 106,893.68, 160,348.88 and 35,816.56

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Solution

The fourth proportional to 106,893.68, 160,348.88 and 35,816.56 is: 53,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,893.68 : 160,348.88 = 35,816.56 : x
  2. Step 2: Convert to fraction form
    106,893.68/160,348.88 = 35,816.56/x
  3. Step 3: Cross multiply
    106,893.68x = 160,348.88 × 35,816.56
  4. Step 4: Simplify right side
    106,893.68x = 5,743,145,281.45
  5. Step 5: Solve for x
    x = 5,743,145,281.45/106,893.68
  6. Step 6: Final answer
    x = 53,727.64

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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.