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Finding the Fourth Proportional to 35,682.94, 49,240.32 and 19,766.24

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Solution

The fourth proportional to 35,682.94, 49,240.32 and 19,766.24 is: 27,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.94 : 49,240.32 = 19,766.24 : x
  2. Step 2: Convert to fraction form
    35,682.94/49,240.32 = 19,766.24/x
  3. Step 3: Cross multiply
    35,682.94x = 49,240.32 × 19,766.24
  4. Step 4: Simplify right side
    35,682.94x = 973,295,736.60
  5. Step 5: Solve for x
    x = 973,295,736.60/35,682.94
  6. Step 6: Final answer
    x = 27,276.22

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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.