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Finding the Fourth Proportional to 37,654.66, 51,959.57 and 22,546.95

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Solution

The fourth proportional to 37,654.66, 51,959.57 and 22,546.95 is: 31,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.66 : 51,959.57 = 22,546.95 : x
  2. Step 2: Convert to fraction form
    37,654.66/51,959.57 = 22,546.95/x
  3. Step 3: Cross multiply
    37,654.66x = 51,959.57 × 22,546.95
  4. Step 4: Simplify right side
    37,654.66x = 1,171,529,826.81
  5. Step 5: Solve for x
    x = 1,171,529,826.81/37,654.66
  6. Step 6: Final answer
    x = 31,112.48

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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.