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Finding the Fourth Proportional to 36,578, 50,477.65 and 19,811

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Solution

The fourth proportional to 36,578, 50,477.65 and 19,811 is: 27,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578 : 50,477.65 = 19,811 : x
  2. Step 2: Convert to fraction form
    36,578/50,477.65 = 19,811/x
  3. Step 3: Cross multiply
    36,578x = 50,477.65 × 19,811
  4. Step 4: Simplify right side
    36,578x = 1,000,012,724.15
  5. Step 5: Solve for x
    x = 1,000,012,724.15/36,578
  6. Step 6: Final answer
    x = 27,339.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.