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Finding the Fourth Proportional to 34,144, 47,131.68 and 22,972.48

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Solution

The fourth proportional to 34,144, 47,131.68 and 22,972.48 is: 31,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144 : 47,131.68 = 22,972.48 : x
  2. Step 2: Convert to fraction form
    34,144/47,131.68 = 22,972.48/x
  3. Step 3: Cross multiply
    34,144x = 47,131.68 × 22,972.48
  4. Step 4: Simplify right side
    34,144x = 1,082,731,576.17
  5. Step 5: Solve for x
    x = 1,082,731,576.17/34,144
  6. Step 6: Final answer
    x = 31,710.74

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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.