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Finding the Fourth Proportional to 35,755.47, 49,342.38 and 19,839.88

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Solution

The fourth proportional to 35,755.47, 49,342.38 and 19,839.88 is: 27,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,755.47 : 49,342.38 = 19,839.88 : x
  2. Step 2: Convert to fraction form
    35,755.47/49,342.38 = 19,839.88/x
  3. Step 3: Cross multiply
    35,755.47x = 49,342.38 × 19,839.88
  4. Step 4: Simplify right side
    35,755.47x = 978,946,824.36
  5. Step 5: Solve for x
    x = 978,946,824.36/35,755.47
  6. Step 6: Final answer
    x = 27,378.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.