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Finding the Fourth Proportional to 37,777.84, 52,144.40 and 25,202.56

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Solution

The fourth proportional to 37,777.84, 52,144.40 and 25,202.56 is: 34,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,777.84 : 52,144.40 = 25,202.56 : x
  2. Step 2: Convert to fraction form
    37,777.84/52,144.40 = 25,202.56/x
  3. Step 3: Cross multiply
    37,777.84x = 52,144.40 × 25,202.56
  4. Step 4: Simplify right side
    37,777.84x = 1,314,172,369.66
  5. Step 5: Solve for x
    x = 1,314,172,369.66/37,777.84
  6. Step 6: Final answer
    x = 34,786.86

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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.