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Finding the Fourth Proportional to 35,701.36, 49,268.24 and 19,786.16

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Solution

The fourth proportional to 35,701.36, 49,268.24 and 19,786.16 is: 27,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.36 : 49,268.24 = 19,786.16 : x
  2. Step 2: Convert to fraction form
    35,701.36/49,268.24 = 19,786.16/x
  3. Step 3: Cross multiply
    35,701.36x = 49,268.24 × 19,786.16
  4. Step 4: Simplify right side
    35,701.36x = 974,829,279.56
  5. Step 5: Solve for x
    x = 974,829,279.56/35,701.36
  6. Step 6: Final answer
    x = 27,305.10

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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.