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Finding the Fourth Proportional to 33,634.14, 46,415.10 and 19,495.17

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Solution

The fourth proportional to 33,634.14, 46,415.10 and 19,495.17 is: 26,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.14 : 46,415.10 = 19,495.17 : x
  2. Step 2: Convert to fraction form
    33,634.14/46,415.10 = 19,495.17/x
  3. Step 3: Cross multiply
    33,634.14x = 46,415.10 × 19,495.17
  4. Step 4: Simplify right side
    33,634.14x = 904,870,265.07
  5. Step 5: Solve for x
    x = 904,870,265.07/33,634.14
  6. Step 6: Final answer
    x = 26,903.33

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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.