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Finding the Fourth Proportional to 45,851.44, 68,778.48 and 20,878.60

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Solution

The fourth proportional to 45,851.44, 68,778.48 and 20,878.60 is: 31,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,851.44 : 68,778.48 = 20,878.60 : x
  2. Step 2: Convert to fraction form
    45,851.44/68,778.48 = 20,878.60/x
  3. Step 3: Cross multiply
    45,851.44x = 68,778.48 × 20,878.60
  4. Step 4: Simplify right side
    45,851.44x = 1,435,998,372.53
  5. Step 5: Solve for x
    x = 1,435,998,372.53/45,851.44
  6. Step 6: Final answer
    x = 31,318.50

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Why These Related Problems?

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