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Finding the Fourth Proportional to 81,683.56, 122,542.36 and 25,521.40

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Solution

The fourth proportional to 81,683.56, 122,542.36 and 25,521.40 is: 38,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,683.56 : 122,542.36 = 25,521.40 : x
  2. Step 2: Convert to fraction form
    81,683.56/122,542.36 = 25,521.40/x
  3. Step 3: Cross multiply
    81,683.56x = 122,542.36 × 25,521.40
  4. Step 4: Simplify right side
    81,683.56x = 3,127,452,586.50
  5. Step 5: Solve for x
    x = 3,127,452,586.50/81,683.56
  6. Step 6: Final answer
    x = 38,287.42

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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.