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Finding the Fourth Proportional to 50,941.76, 76,399.68 and 19,760

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Solution

The fourth proportional to 50,941.76, 76,399.68 and 19,760 is: 29,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,941.76 : 76,399.68 = 19,760 : x
  2. Step 2: Convert to fraction form
    50,941.76/76,399.68 = 19,760/x
  3. Step 3: Cross multiply
    50,941.76x = 76,399.68 × 19,760
  4. Step 4: Simplify right side
    50,941.76x = 1,509,657,676.80
  5. Step 5: Solve for x
    x = 1,509,657,676.80/50,941.76
  6. Step 6: Final answer
    x = 29,634.97

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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.