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Finding the Fourth Proportional to 33,314.71, 45,969.86 and 21,394.20

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Solution

The fourth proportional to 33,314.71, 45,969.86 and 21,394.20 is: 29,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314.71 : 45,969.86 = 21,394.20 : x
  2. Step 2: Convert to fraction form
    33,314.71/45,969.86 = 21,394.20/x
  3. Step 3: Cross multiply
    33,314.71x = 45,969.86 × 21,394.20
  4. Step 4: Simplify right side
    33,314.71x = 983,488,148.96
  5. Step 5: Solve for x
    x = 983,488,148.96/33,314.71
  6. Step 6: Final answer
    x = 29,521.14

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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.