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Finding the Fourth Proportional to 35,754.48, 49,344 and 19,842.02

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Solution

The fourth proportional to 35,754.48, 49,344 and 19,842.02 is: 27,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.48 : 49,344 = 19,842.02 : x
  2. Step 2: Convert to fraction form
    35,754.48/49,344 = 19,842.02/x
  3. Step 3: Cross multiply
    35,754.48x = 49,344 × 19,842.02
  4. Step 4: Simplify right side
    35,754.48x = 979,084,634.88
  5. Step 5: Solve for x
    x = 979,084,634.88/35,754.48
  6. Step 6: Final answer
    x = 27,383.55

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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.