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Finding the Fourth Proportional to 81,766.40, 122,649.60 and 25,611.20

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Solution

The fourth proportional to 81,766.40, 122,649.60 and 25,611.20 is: 38,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766.40 : 122,649.60 = 25,611.20 : x
  2. Step 2: Convert to fraction form
    81,766.40/122,649.60 = 25,611.20/x
  3. Step 3: Cross multiply
    81,766.40x = 122,649.60 × 25,611.20
  4. Step 4: Simplify right side
    81,766.40x = 3,141,203,435.52
  5. Step 5: Solve for x
    x = 3,141,203,435.52/81,766.40
  6. Step 6: Final answer
    x = 38,416.80

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Why These Related Problems?

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