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Finding the Fourth Proportional to 35,654.64, 49,201.28 and 19,738.16

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Solution

The fourth proportional to 35,654.64, 49,201.28 and 19,738.16 is: 27,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.64 : 49,201.28 = 19,738.16 : x
  2. Step 2: Convert to fraction form
    35,654.64/49,201.28 = 19,738.16/x
  3. Step 3: Cross multiply
    35,654.64x = 49,201.28 × 19,738.16
  4. Step 4: Simplify right side
    35,654.64x = 971,142,736.84
  5. Step 5: Solve for x
    x = 971,142,736.84/35,654.64
  6. Step 6: Final answer
    x = 27,237.49

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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.