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Finding the Fourth Proportional to 35,821.64, 49,435.18 and 19,907.66

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Solution

The fourth proportional to 35,821.64, 49,435.18 and 19,907.66 is: 27,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821.64 : 49,435.18 = 19,907.66 : x
  2. Step 2: Convert to fraction form
    35,821.64/49,435.18 = 19,907.66/x
  3. Step 3: Cross multiply
    35,821.64x = 49,435.18 × 19,907.66
  4. Step 4: Simplify right side
    35,821.64x = 984,138,755.48
  5. Step 5: Solve for x
    x = 984,138,755.48/35,821.64
  6. Step 6: Final answer
    x = 27,473.30

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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.