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Finding the Fourth Proportional to 33,412, 46,095.84 and 22,086.88

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Solution

The fourth proportional to 33,412, 46,095.84 and 22,086.88 is: 30,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412 : 46,095.84 = 22,086.88 : x
  2. Step 2: Convert to fraction form
    33,412/46,095.84 = 22,086.88/x
  3. Step 3: Cross multiply
    33,412x = 46,095.84 × 22,086.88
  4. Step 4: Simplify right side
    33,412x = 1,018,113,286.58
  5. Step 5: Solve for x
    x = 1,018,113,286.58/33,412
  6. Step 6: Final answer
    x = 30,471.49

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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.