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Finding the Fourth Proportional to 51,139.76, 76,716.92 and 24,826.50

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Solution

The fourth proportional to 51,139.76, 76,716.92 and 24,826.50 is: 37,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,139.76 : 76,716.92 = 24,826.50 : x
  2. Step 2: Convert to fraction form
    51,139.76/76,716.92 = 24,826.50/x
  3. Step 3: Cross multiply
    51,139.76x = 76,716.92 × 24,826.50
  4. Step 4: Simplify right side
    51,139.76x = 1,904,612,676.45
  5. Step 5: Solve for x
    x = 1,904,612,676.45/51,139.76
  6. Step 6: Final answer
    x = 37,243.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.