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Finding the Fourth Proportional to 36,682, 50,632.72 and 23,434

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Solution

The fourth proportional to 36,682, 50,632.72 and 23,434 is: 32,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,682 : 50,632.72 = 23,434 : x
  2. Step 2: Convert to fraction form
    36,682/50,632.72 = 23,434/x
  3. Step 3: Cross multiply
    36,682x = 50,632.72 × 23,434
  4. Step 4: Simplify right side
    36,682x = 1,186,527,160.48
  5. Step 5: Solve for x
    x = 1,186,527,160.48/36,682
  6. Step 6: Final answer
    x = 32,346.31

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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.