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Finding the Fourth Proportional to 106,909.65, 160,400.10 and 35,839.31

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Solution

The fourth proportional to 106,909.65, 160,400.10 and 35,839.31 is: 53,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,909.65 : 160,400.10 = 35,839.31 : x
  2. Step 2: Convert to fraction form
    106,909.65/160,400.10 = 35,839.31/x
  3. Step 3: Cross multiply
    106,909.65x = 160,400.10 × 35,839.31
  4. Step 4: Simplify right side
    106,909.65x = 5,748,628,940.98
  5. Step 5: Solve for x
    x = 5,748,628,940.98/106,909.65
  6. Step 6: Final answer
    x = 53,770.91

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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.