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Finding the Fourth Proportional to 37,102.14, 51,202.26 and 21,186.30

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Solution

The fourth proportional to 37,102.14, 51,202.26 and 21,186.30 is: 29,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.14 : 51,202.26 = 21,186.30 : x
  2. Step 2: Convert to fraction form
    37,102.14/51,202.26 = 21,186.30/x
  3. Step 3: Cross multiply
    37,102.14x = 51,202.26 × 21,186.30
  4. Step 4: Simplify right side
    37,102.14x = 1,084,786,441.04
  5. Step 5: Solve for x
    x = 1,084,786,441.04/37,102.14
  6. Step 6: Final answer
    x = 29,237.84

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