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Finding the Fourth Proportional to 50,960.48, 76,382.40 and 19,769

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Solution

The fourth proportional to 50,960.48, 76,382.40 and 19,769 is: 29,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,960.48 : 76,382.40 = 19,769 : x
  2. Step 2: Convert to fraction form
    50,960.48/76,382.40 = 19,769/x
  3. Step 3: Cross multiply
    50,960.48x = 76,382.40 × 19,769
  4. Step 4: Simplify right side
    50,960.48x = 1,510,003,665.60
  5. Step 5: Solve for x
    x = 1,510,003,665.60/50,960.48
  6. Step 6: Final answer
    x = 29,630.88

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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.