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Finding the Fourth Proportional to 49,878.36, 74,831.64 and 20,317.44

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Solution

The fourth proportional to 49,878.36, 74,831.64 and 20,317.44 is: 30,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878.36 : 74,831.64 = 20,317.44 : x
  2. Step 2: Convert to fraction form
    49,878.36/74,831.64 = 20,317.44/x
  3. Step 3: Cross multiply
    49,878.36x = 74,831.64 × 20,317.44
  4. Step 4: Simplify right side
    49,878.36x = 1,520,387,355.80
  5. Step 5: Solve for x
    x = 1,520,387,355.80/49,878.36
  6. Step 6: Final answer
    x = 30,481.90

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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.