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Finding the Fourth Proportional to 77,383.26, 115,919.37 and 40,369.50

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Solution

The fourth proportional to 77,383.26, 115,919.37 and 40,369.50 is: 60,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.26 : 115,919.37 = 40,369.50 : x
  2. Step 2: Convert to fraction form
    77,383.26/115,919.37 = 40,369.50/x
  3. Step 3: Cross multiply
    77,383.26x = 115,919.37 × 40,369.50
  4. Step 4: Simplify right side
    77,383.26x = 4,679,607,007.22
  5. Step 5: Solve for x
    x = 4,679,607,007.22/77,383.26
  6. Step 6: Final answer
    x = 60,473.12

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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.