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Finding the Fourth Proportional to 50,966.49, 76,419.46 and 19,378.87

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Solution

The fourth proportional to 50,966.49, 76,419.46 and 19,378.87 is: 29,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,966.49 : 76,419.46 = 19,378.87 : x
  2. Step 2: Convert to fraction form
    50,966.49/76,419.46 = 19,378.87/x
  3. Step 3: Cross multiply
    50,966.49x = 76,419.46 × 19,378.87
  4. Step 4: Simplify right side
    50,966.49x = 1,480,922,350.27
  5. Step 5: Solve for x
    x = 1,480,922,350.27/50,966.49
  6. Step 6: Final answer
    x = 29,056.78

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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.