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Finding the Fourth Proportional to 45,936, 68,920.40 and 22,578.84

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Solution

The fourth proportional to 45,936, 68,920.40 and 22,578.84 is: 33,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936 : 68,920.40 = 22,578.84 : x
  2. Step 2: Convert to fraction form
    45,936/68,920.40 = 22,578.84/x
  3. Step 3: Cross multiply
    45,936x = 68,920.40 × 22,578.84
  4. Step 4: Simplify right side
    45,936x = 1,556,142,740.78
  5. Step 5: Solve for x
    x = 1,556,142,740.78/45,936
  6. Step 6: Final answer
    x = 33,876.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.