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Finding the Fourth Proportional to 37,103.42, 51,202.91 and 20,107.66

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Solution

The fourth proportional to 37,103.42, 51,202.91 and 20,107.66 is: 27,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.42 : 51,202.91 = 20,107.66 : x
  2. Step 2: Convert to fraction form
    37,103.42/51,202.91 = 20,107.66/x
  3. Step 3: Cross multiply
    37,103.42x = 51,202.91 × 20,107.66
  4. Step 4: Simplify right side
    37,103.42x = 1,029,570,705.29
  5. Step 5: Solve for x
    x = 1,029,570,705.29/37,103.42
  6. Step 6: Final answer
    x = 27,748.67

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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.