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Finding the Fourth Proportional to 33,541, 46,306.02 and 22,382.44

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Solution

The fourth proportional to 33,541, 46,306.02 and 22,382.44 is: 30,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541 : 46,306.02 = 22,382.44 : x
  2. Step 2: Convert to fraction form
    33,541/46,306.02 = 22,382.44/x
  3. Step 3: Cross multiply
    33,541x = 46,306.02 × 22,382.44
  4. Step 4: Simplify right side
    33,541x = 1,036,441,714.29
  5. Step 5: Solve for x
    x = 1,036,441,714.29/33,541
  6. Step 6: Final answer
    x = 30,900.74

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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.