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Finding the Fourth Proportional to 35,654.24, 49,203.24 and 19,738.96

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Solution

The fourth proportional to 35,654.24, 49,203.24 and 19,738.96 is: 27,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.24 : 49,203.24 = 19,738.96 : x
  2. Step 2: Convert to fraction form
    35,654.24/49,203.24 = 19,738.96/x
  3. Step 3: Cross multiply
    35,654.24x = 49,203.24 × 19,738.96
  4. Step 4: Simplify right side
    35,654.24x = 971,220,786.23
  5. Step 5: Solve for x
    x = 971,220,786.23/35,654.24
  6. Step 6: Final answer
    x = 27,239.98

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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.