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Finding the Fourth Proportional to 35,825.28, 49,437.84 and 19,909.32

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Solution

The fourth proportional to 35,825.28, 49,437.84 and 19,909.32 is: 27,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825.28 : 49,437.84 = 19,909.32 : x
  2. Step 2: Convert to fraction form
    35,825.28/49,437.84 = 19,909.32/x
  3. Step 3: Cross multiply
    35,825.28x = 49,437.84 × 19,909.32
  4. Step 4: Simplify right side
    35,825.28x = 984,273,776.67
  5. Step 5: Solve for x
    x = 984,273,776.67/35,825.28
  6. Step 6: Final answer
    x = 27,474.28

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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.