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Finding the Fourth Proportional to 37,874.40, 52,270.56 and 22,771.98

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Solution

The fourth proportional to 37,874.40, 52,270.56 and 22,771.98 is: 31,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.40 : 52,270.56 = 22,771.98 : x
  2. Step 2: Convert to fraction form
    37,874.40/52,270.56 = 22,771.98/x
  3. Step 3: Cross multiply
    37,874.40x = 52,270.56 × 22,771.98
  4. Step 4: Simplify right side
    37,874.40x = 1,190,304,146.91
  5. Step 5: Solve for x
    x = 1,190,304,146.91/37,874.40
  6. Step 6: Final answer
    x = 31,427.67

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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.