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Finding the Fourth Proportional to 68,145.60, 102,231.77 and 23,773.80

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Solution

The fourth proportional to 68,145.60, 102,231.77 and 23,773.80 is: 35,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,145.60 : 102,231.77 = 23,773.80 : x
  2. Step 2: Convert to fraction form
    68,145.60/102,231.77 = 23,773.80/x
  3. Step 3: Cross multiply
    68,145.60x = 102,231.77 × 23,773.80
  4. Step 4: Simplify right side
    68,145.60x = 2,430,437,653.63
  5. Step 5: Solve for x
    x = 2,430,437,653.63/68,145.60
  6. Step 6: Final answer
    x = 35,665.36

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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.