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Finding the Fourth Proportional to 30,942.86, 46,416.74 and 8,756.37

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Solution

The fourth proportional to 30,942.86, 46,416.74 and 8,756.37 is: 13,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.86 : 46,416.74 = 8,756.37 : x
  2. Step 2: Convert to fraction form
    30,942.86/46,416.74 = 8,756.37/x
  3. Step 3: Cross multiply
    30,942.86x = 46,416.74 × 8,756.37
  4. Step 4: Simplify right side
    30,942.86x = 406,442,105.85
  5. Step 5: Solve for x
    x = 406,442,105.85/30,942.86
  6. Step 6: Final answer
    x = 13,135.25

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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.