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Finding the Fourth Proportional to 70,940.82, 106,388.08 and 23,543.18

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Solution

The fourth proportional to 70,940.82, 106,388.08 and 23,543.18 is: 35,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.82 : 106,388.08 = 23,543.18 : x
  2. Step 2: Convert to fraction form
    70,940.82/106,388.08 = 23,543.18/x
  3. Step 3: Cross multiply
    70,940.82x = 106,388.08 × 23,543.18
  4. Step 4: Simplify right side
    70,940.82x = 2,504,713,717.29
  5. Step 5: Solve for x
    x = 2,504,713,717.29/70,940.82
  6. Step 6: Final answer
    x = 35,307.09

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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.