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Finding the Fourth Proportional to 106,940, 160,410 and 33,068

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Solution

The fourth proportional to 106,940, 160,410 and 33,068 is: 49,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940 : 160,410 = 33,068 : x
  2. Step 2: Convert to fraction form
    106,940/160,410 = 33,068/x
  3. Step 3: Cross multiply
    106,940x = 160,410 × 33,068
  4. Step 4: Simplify right side
    106,940x = 5,304,437,880
  5. Step 5: Solve for x
    x = 5,304,437,880/106,940
  6. Step 6: Final answer
    x = 49,602

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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.