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Finding the Fourth Proportional to 33,930.14, 46,792.91 and 21,184.47

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Solution

The fourth proportional to 33,930.14, 46,792.91 and 21,184.47 is: 29,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.14 : 46,792.91 = 21,184.47 : x
  2. Step 2: Convert to fraction form
    33,930.14/46,792.91 = 21,184.47/x
  3. Step 3: Cross multiply
    33,930.14x = 46,792.91 × 21,184.47
  4. Step 4: Simplify right side
    33,930.14x = 991,283,051.07
  5. Step 5: Solve for x
    x = 991,283,051.07/33,930.14
  6. Step 6: Final answer
    x = 29,215.42

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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.