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Finding the Fourth Proportional to 30,796.98, 42,500.02 and 19,471.58

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Solution

The fourth proportional to 30,796.98, 42,500.02 and 19,471.58 is: 26,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.98 : 42,500.02 = 19,471.58 : x
  2. Step 2: Convert to fraction form
    30,796.98/42,500.02 = 19,471.58/x
  3. Step 3: Cross multiply
    30,796.98x = 42,500.02 × 19,471.58
  4. Step 4: Simplify right side
    30,796.98x = 827,542,539.43
  5. Step 5: Solve for x
    x = 827,542,539.43/30,796.98
  6. Step 6: Final answer
    x = 26,870.90

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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.