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Finding the Fourth Proportional to 30,427.25, 42,043.25 and 23,414.27

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Solution

The fourth proportional to 30,427.25, 42,043.25 and 23,414.27 is: 32,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.25 : 42,043.25 = 23,414.27 : x
  2. Step 2: Convert to fraction form
    30,427.25/42,043.25 = 23,414.27/x
  3. Step 3: Cross multiply
    30,427.25x = 42,043.25 × 23,414.27
  4. Step 4: Simplify right side
    30,427.25x = 984,411,855.50
  5. Step 5: Solve for x
    x = 984,411,855.50/30,427.25
  6. Step 6: Final answer
    x = 32,352.97

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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.