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Finding the Fourth Proportional to 68,142.50, 102,214.67 and 21,395.38

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Solution

The fourth proportional to 68,142.50, 102,214.67 and 21,395.38 is: 32,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.50 : 102,214.67 = 21,395.38 : x
  2. Step 2: Convert to fraction form
    68,142.50/102,214.67 = 21,395.38/x
  3. Step 3: Cross multiply
    68,142.50x = 102,214.67 × 21,395.38
  4. Step 4: Simplify right side
    68,142.50x = 2,186,921,706.22
  5. Step 5: Solve for x
    x = 2,186,921,706.22/68,142.50
  6. Step 6: Final answer
    x = 32,093.36

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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.