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Finding the Fourth Proportional to 33,852, 46,709.28 and 21,913.68

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Solution

The fourth proportional to 33,852, 46,709.28 and 21,913.68 is: 30,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852 : 46,709.28 = 21,913.68 : x
  2. Step 2: Convert to fraction form
    33,852/46,709.28 = 21,913.68/x
  3. Step 3: Cross multiply
    33,852x = 46,709.28 × 21,913.68
  4. Step 4: Simplify right side
    33,852x = 1,023,572,214.95
  5. Step 5: Solve for x
    x = 1,023,572,214.95/33,852
  6. Step 6: Final answer
    x = 30,236.68

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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.