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Finding the Fourth Proportional to 32,774.70, 49,172.46 and 13,809.36

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Solution

The fourth proportional to 32,774.70, 49,172.46 and 13,809.36 is: 20,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.70 : 49,172.46 = 13,809.36 : x
  2. Step 2: Convert to fraction form
    32,774.70/49,172.46 = 13,809.36/x
  3. Step 3: Cross multiply
    32,774.70x = 49,172.46 × 13,809.36
  4. Step 4: Simplify right side
    32,774.70x = 679,040,202.23
  5. Step 5: Solve for x
    x = 679,040,202.23/32,774.70
  6. Step 6: Final answer
    x = 20,718.43

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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.