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Finding the Fourth Proportional to 37,644.94, 51,948.37 and 22,546

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Solution

The fourth proportional to 37,644.94, 51,948.37 and 22,546 is: 31,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.94 : 51,948.37 = 22,546 : x
  2. Step 2: Convert to fraction form
    37,644.94/51,948.37 = 22,546/x
  3. Step 3: Cross multiply
    37,644.94x = 51,948.37 × 22,546
  4. Step 4: Simplify right side
    37,644.94x = 1,171,227,950.02
  5. Step 5: Solve for x
    x = 1,171,227,950.02/37,644.94
  6. Step 6: Final answer
    x = 31,112.49

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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.