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Finding the Fourth Proportional to 76,418.36, 114,478.43 and 50,043.14

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Solution

The fourth proportional to 76,418.36, 114,478.43 and 50,043.14 is: 74,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.36 : 114,478.43 = 50,043.14 : x
  2. Step 2: Convert to fraction form
    76,418.36/114,478.43 = 50,043.14/x
  3. Step 3: Cross multiply
    76,418.36x = 114,478.43 × 50,043.14
  4. Step 4: Simplify right side
    76,418.36x = 5,728,860,099.47
  5. Step 5: Solve for x
    x = 5,728,860,099.47/76,418.36
  6. Step 6: Final answer
    x = 74,967.06

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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.