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Finding the Fourth Proportional to 37,644.30, 51,913.50 and 22,534.56

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Solution

The fourth proportional to 37,644.30, 51,913.50 and 22,534.56 is: 31,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.30 : 51,913.50 = 22,534.56 : x
  2. Step 2: Convert to fraction form
    37,644.30/51,913.50 = 22,534.56/x
  3. Step 3: Cross multiply
    37,644.30x = 51,913.50 × 22,534.56
  4. Step 4: Simplify right side
    37,644.30x = 1,169,847,880.56
  5. Step 5: Solve for x
    x = 1,169,847,880.56/37,644.30
  6. Step 6: Final answer
    x = 31,076.36

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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.