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Finding the Fourth Proportional to 37,093.14, 51,172.29 and 22,180.50

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Solution

The fourth proportional to 37,093.14, 51,172.29 and 22,180.50 is: 30,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,093.14 : 51,172.29 = 22,180.50 : x
  2. Step 2: Convert to fraction form
    37,093.14/51,172.29 = 22,180.50/x
  3. Step 3: Cross multiply
    37,093.14x = 51,172.29 × 22,180.50
  4. Step 4: Simplify right side
    37,093.14x = 1,135,026,978.35
  5. Step 5: Solve for x
    x = 1,135,026,978.35/37,093.14
  6. Step 6: Final answer
    x = 30,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.