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Finding the Fourth Proportional to 37,134.48, 55,704.12 and 10,837

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Solution

The fourth proportional to 37,134.48, 55,704.12 and 10,837 is: 16,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134.48 : 55,704.12 = 10,837 : x
  2. Step 2: Convert to fraction form
    37,134.48/55,704.12 = 10,837/x
  3. Step 3: Cross multiply
    37,134.48x = 55,704.12 × 10,837
  4. Step 4: Simplify right side
    37,134.48x = 603,665,548.44
  5. Step 5: Solve for x
    x = 603,665,548.44/37,134.48
  6. Step 6: Final answer
    x = 16,256.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.