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Finding the Fourth Proportional to 46,419.82, 64,059 and 25,198.66

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Solution

The fourth proportional to 46,419.82, 64,059 and 25,198.66 is: 34,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419.82 : 64,059 = 25,198.66 : x
  2. Step 2: Convert to fraction form
    46,419.82/64,059 = 25,198.66/x
  3. Step 3: Cross multiply
    46,419.82x = 64,059 × 25,198.66
  4. Step 4: Simplify right side
    46,419.82x = 1,614,200,960.94
  5. Step 5: Solve for x
    x = 1,614,200,960.94/46,419.82
  6. Step 6: Final answer
    x = 34,773.96

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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.