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Finding the Fourth Proportional to 30,591.79, 42,202.34 and 19,840.07

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Solution

The fourth proportional to 30,591.79, 42,202.34 and 19,840.07 is: 27,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.79 : 42,202.34 = 19,840.07 : x
  2. Step 2: Convert to fraction form
    30,591.79/42,202.34 = 19,840.07/x
  3. Step 3: Cross multiply
    30,591.79x = 42,202.34 × 19,840.07
  4. Step 4: Simplify right side
    30,591.79x = 837,297,069.55
  5. Step 5: Solve for x
    x = 837,297,069.55/30,591.79
  6. Step 6: Final answer
    x = 27,369.99

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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.