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Finding the Fourth Proportional to 30,831.87, 46,219.50 and 11,105.64

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Solution

The fourth proportional to 30,831.87, 46,219.50 and 11,105.64 is: 16,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.87 : 46,219.50 = 11,105.64 : x
  2. Step 2: Convert to fraction form
    30,831.87/46,219.50 = 11,105.64/x
  3. Step 3: Cross multiply
    30,831.87x = 46,219.50 × 11,105.64
  4. Step 4: Simplify right side
    30,831.87x = 513,297,127.98
  5. Step 5: Solve for x
    x = 513,297,127.98/30,831.87
  6. Step 6: Final answer
    x = 16,648.26

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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.