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Finding the Fourth Proportional to 35,713.20, 49,282.20 and 19,797.60

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Solution

The fourth proportional to 35,713.20, 49,282.20 and 19,797.60 is: 27,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.20 : 49,282.20 = 19,797.60 : x
  2. Step 2: Convert to fraction form
    35,713.20/49,282.20 = 19,797.60/x
  3. Step 3: Cross multiply
    35,713.20x = 49,282.20 × 19,797.60
  4. Step 4: Simplify right side
    35,713.20x = 975,669,282.72
  5. Step 5: Solve for x
    x = 975,669,282.72/35,713.20
  6. Step 6: Final answer
    x = 27,319.57

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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.