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Finding the Fourth Proportional to 30,454.84, 42,039.30 and 19,847.08

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Solution

The fourth proportional to 30,454.84, 42,039.30 and 19,847.08 is: 27,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.84 : 42,039.30 = 19,847.08 : x
  2. Step 2: Convert to fraction form
    30,454.84/42,039.30 = 19,847.08/x
  3. Step 3: Cross multiply
    30,454.84x = 42,039.30 × 19,847.08
  4. Step 4: Simplify right side
    30,454.84x = 834,357,350.24
  5. Step 5: Solve for x
    x = 834,357,350.24/30,454.84
  6. Step 6: Final answer
    x = 27,396.54

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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.