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Finding the Fourth Proportional to 33,842, 46,695.48 and 21,903.68

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Solution

The fourth proportional to 33,842, 46,695.48 and 21,903.68 is: 30,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842 : 46,695.48 = 21,903.68 : x
  2. Step 2: Convert to fraction form
    33,842/46,695.48 = 21,903.68/x
  3. Step 3: Cross multiply
    33,842x = 46,695.48 × 21,903.68
  4. Step 4: Simplify right side
    33,842x = 1,022,802,851.37
  5. Step 5: Solve for x
    x = 1,022,802,851.37/33,842
  6. Step 6: Final answer
    x = 30,222.88

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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.