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Finding the Fourth Proportional to 30,796.77, 46,198.77 and 10,800.15

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Solution

The fourth proportional to 30,796.77, 46,198.77 and 10,800.15 is: 16,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.77 : 46,198.77 = 10,800.15 : x
  2. Step 2: Convert to fraction form
    30,796.77/46,198.77 = 10,800.15/x
  3. Step 3: Cross multiply
    30,796.77x = 46,198.77 × 10,800.15
  4. Step 4: Simplify right side
    30,796.77x = 498,953,645.82
  5. Step 5: Solve for x
    x = 498,953,645.82/30,796.77
  6. Step 6: Final answer
    x = 16,201.49

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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.