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Finding the Fourth Proportional to 30,883.26, 46,324.86 and 11,161.74

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Solution

The fourth proportional to 30,883.26, 46,324.86 and 11,161.74 is: 16,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.26 : 46,324.86 = 11,161.74 : x
  2. Step 2: Convert to fraction form
    30,883.26/46,324.86 = 11,161.74/x
  3. Step 3: Cross multiply
    30,883.26x = 46,324.86 × 11,161.74
  4. Step 4: Simplify right side
    30,883.26x = 517,066,042.86
  5. Step 5: Solve for x
    x = 517,066,042.86/30,883.26
  6. Step 6: Final answer
    x = 16,742.60

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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.