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Finding the Fourth Proportional to 106,967.89, 160,476.45 and 35,899.96

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Solution

The fourth proportional to 106,967.89, 160,476.45 and 35,899.96 is: 53,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967.89 : 160,476.45 = 35,899.96 : x
  2. Step 2: Convert to fraction form
    106,967.89/160,476.45 = 35,899.96/x
  3. Step 3: Cross multiply
    106,967.89x = 160,476.45 × 35,899.96
  4. Step 4: Simplify right side
    106,967.89x = 5,761,098,135.94
  5. Step 5: Solve for x
    x = 5,761,098,135.94/106,967.89
  6. Step 6: Final answer
    x = 53,858.20

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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.