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Finding the Fourth Proportional to 106,907.39, 160,361.78 and 28,020.94

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Solution

The fourth proportional to 106,907.39, 160,361.78 and 28,020.94 is: 42,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,907.39 : 160,361.78 = 28,020.94 : x
  2. Step 2: Convert to fraction form
    106,907.39/160,361.78 = 28,020.94/x
  3. Step 3: Cross multiply
    106,907.39x = 160,361.78 × 28,020.94
  4. Step 4: Simplify right side
    106,907.39x = 4,493,487,274.66
  5. Step 5: Solve for x
    x = 4,493,487,274.66/106,907.39
  6. Step 6: Final answer
    x = 42,031.59

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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.