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Finding the Fourth Proportional to 35,680.72, 49,236 and 19,764.84

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Solution

The fourth proportional to 35,680.72, 49,236 and 19,764.84 is: 27,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680.72 : 49,236 = 19,764.84 : x
  2. Step 2: Convert to fraction form
    35,680.72/49,236 = 19,764.84/x
  3. Step 3: Cross multiply
    35,680.72x = 49,236 × 19,764.84
  4. Step 4: Simplify right side
    35,680.72x = 973,141,662.24
  5. Step 5: Solve for x
    x = 973,141,662.24/35,680.72
  6. Step 6: Final answer
    x = 27,273.60

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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.