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Finding the Fourth Proportional to 68,094.41, 102,142.07 and 23,722

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Solution

The fourth proportional to 68,094.41, 102,142.07 and 23,722 is: 35,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,094.41 : 102,142.07 = 23,722 : x
  2. Step 2: Convert to fraction form
    68,094.41/102,142.07 = 23,722/x
  3. Step 3: Cross multiply
    68,094.41x = 102,142.07 × 23,722
  4. Step 4: Simplify right side
    68,094.41x = 2,423,014,065.93
  5. Step 5: Solve for x
    x = 2,423,014,065.93/68,094.41
  6. Step 6: Final answer
    x = 35,583.16

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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.