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Finding the Fourth Proportional to 35,782.35, 49,380.99 and 19,650.34

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Solution

The fourth proportional to 35,782.35, 49,380.99 and 19,650.34 is: 27,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.35 : 49,380.99 = 19,650.34 : x
  2. Step 2: Convert to fraction form
    35,782.35/49,380.99 = 19,650.34/x
  3. Step 3: Cross multiply
    35,782.35x = 49,380.99 × 19,650.34
  4. Step 4: Simplify right side
    35,782.35x = 970,353,119.58
  5. Step 5: Solve for x
    x = 970,353,119.58/35,782.35
  6. Step 6: Final answer
    x = 27,118.21

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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.