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Finding the Fourth Proportional to 37,102.44, 55,653.66 and 10,809.24

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Solution

The fourth proportional to 37,102.44, 55,653.66 and 10,809.24 is: 16,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.44 : 55,653.66 = 10,809.24 : x
  2. Step 2: Convert to fraction form
    37,102.44/55,653.66 = 10,809.24/x
  3. Step 3: Cross multiply
    37,102.44x = 55,653.66 × 10,809.24
  4. Step 4: Simplify right side
    37,102.44x = 601,573,767.82
  5. Step 5: Solve for x
    x = 601,573,767.82/37,102.44
  6. Step 6: Final answer
    x = 16,213.86

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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.