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Finding the Fourth Proportional to 37,102.53, 51,199.32 and 21,996.64

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Solution

The fourth proportional to 37,102.53, 51,199.32 and 21,996.64 is: 30,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.53 : 51,199.32 = 21,996.64 : x
  2. Step 2: Convert to fraction form
    37,102.53/51,199.32 = 21,996.64/x
  3. Step 3: Cross multiply
    37,102.53x = 51,199.32 × 21,996.64
  4. Step 4: Simplify right side
    37,102.53x = 1,126,213,010.28
  5. Step 5: Solve for x
    x = 1,126,213,010.28/37,102.53
  6. Step 6: Final answer
    x = 30,354.08

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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.