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Finding the Fourth Proportional to 35,823.20, 49,435.04 and 19,907.24

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Solution

The fourth proportional to 35,823.20, 49,435.04 and 19,907.24 is: 27,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,823.20 : 49,435.04 = 19,907.24 : x
  2. Step 2: Convert to fraction form
    35,823.20/49,435.04 = 19,907.24/x
  3. Step 3: Cross multiply
    35,823.20x = 49,435.04 × 19,907.24
  4. Step 4: Simplify right side
    35,823.20x = 984,114,858.98
  5. Step 5: Solve for x
    x = 984,114,858.98/35,823.20
  6. Step 6: Final answer
    x = 27,471.44

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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.