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Finding the Fourth Proportional to 68,172.54, 102,283.42 and 23,805.84

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Solution

The fourth proportional to 68,172.54, 102,283.42 and 23,805.84 is: 35,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,172.54 : 102,283.42 = 23,805.84 : x
  2. Step 2: Convert to fraction form
    68,172.54/102,283.42 = 23,805.84/x
  3. Step 3: Cross multiply
    68,172.54x = 102,283.42 × 23,805.84
  4. Step 4: Simplify right side
    68,172.54x = 2,434,942,731.17
  5. Step 5: Solve for x
    x = 2,434,942,731.17/68,172.54
  6. Step 6: Final answer
    x = 35,717.35

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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.