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Finding the Fourth Proportional to 30,546.36, 45,787.57 and 12,787.20

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Solution

The fourth proportional to 30,546.36, 45,787.57 and 12,787.20 is: 19,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.36 : 45,787.57 = 12,787.20 : x
  2. Step 2: Convert to fraction form
    30,546.36/45,787.57 = 12,787.20/x
  3. Step 3: Cross multiply
    30,546.36x = 45,787.57 × 12,787.20
  4. Step 4: Simplify right side
    30,546.36x = 585,494,783.14
  5. Step 5: Solve for x
    x = 585,494,783.14/30,546.36
  6. Step 6: Final answer
    x = 19,167.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.