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Finding the Fourth Proportional to 35,764.98, 49,348.36 and 19,846.06

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Solution

The fourth proportional to 35,764.98, 49,348.36 and 19,846.06 is: 27,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.98 : 49,348.36 = 19,846.06 : x
  2. Step 2: Convert to fraction form
    35,764.98/49,348.36 = 19,846.06/x
  3. Step 3: Cross multiply
    35,764.98x = 49,348.36 × 19,846.06
  4. Step 4: Simplify right side
    35,764.98x = 979,370,513.46
  5. Step 5: Solve for x
    x = 979,370,513.46/35,764.98
  6. Step 6: Final answer
    x = 27,383.51

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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.