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Finding the Fourth Proportional to 35,812.80, 49,418.64 and 19,896.30

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Solution

The fourth proportional to 35,812.80, 49,418.64 and 19,896.30 is: 27,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.80 : 49,418.64 = 19,896.30 : x
  2. Step 2: Convert to fraction form
    35,812.80/49,418.64 = 19,896.30/x
  3. Step 3: Cross multiply
    35,812.80x = 49,418.64 × 19,896.30
  4. Step 4: Simplify right side
    35,812.80x = 983,248,087.03
  5. Step 5: Solve for x
    x = 983,248,087.03/35,812.80
  6. Step 6: Final answer
    x = 27,455.21

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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.