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Finding the Fourth Proportional to 33,851, 46,707.90 and 21,912.68

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Solution

The fourth proportional to 33,851, 46,707.90 and 21,912.68 is: 30,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,851 : 46,707.90 = 21,912.68 : x
  2. Step 2: Convert to fraction form
    33,851/46,707.90 = 21,912.68/x
  3. Step 3: Cross multiply
    33,851x = 46,707.90 × 21,912.68
  4. Step 4: Simplify right side
    33,851x = 1,023,495,266.17
  5. Step 5: Solve for x
    x = 1,023,495,266.17/33,851
  6. Step 6: Final answer
    x = 30,235.30

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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.