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Finding the Fourth Proportional to 51,163.08, 76,739.76 and 17,877

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Solution

The fourth proportional to 51,163.08, 76,739.76 and 17,877 is: 26,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,163.08 : 76,739.76 = 17,877 : x
  2. Step 2: Convert to fraction form
    51,163.08/76,739.76 = 17,877/x
  3. Step 3: Cross multiply
    51,163.08x = 76,739.76 × 17,877
  4. Step 4: Simplify right side
    51,163.08x = 1,371,876,689.52
  5. Step 5: Solve for x
    x = 1,371,876,689.52/51,163.08
  6. Step 6: Final answer
    x = 26,813.80

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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.