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Finding the Fourth Proportional to 50,998.68, 76,507.74 and 19,831.50

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Solution

The fourth proportional to 50,998.68, 76,507.74 and 19,831.50 is: 29,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998.68 : 76,507.74 = 19,831.50 : x
  2. Step 2: Convert to fraction form
    50,998.68/76,507.74 = 19,831.50/x
  3. Step 3: Cross multiply
    50,998.68x = 76,507.74 × 19,831.50
  4. Step 4: Simplify right side
    50,998.68x = 1,517,263,245.81
  5. Step 5: Solve for x
    x = 1,517,263,245.81/50,998.68
  6. Step 6: Final answer
    x = 29,751.03

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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.