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Finding the Fourth Proportional to 30,774, 46,160.91 and 23,764.26

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Solution

The fourth proportional to 30,774, 46,160.91 and 23,764.26 is: 35,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 46,160.91 = 23,764.26 : x
  2. Step 2: Convert to fraction form
    30,774/46,160.91 = 23,764.26/x
  3. Step 3: Cross multiply
    30,774x = 46,160.91 × 23,764.26
  4. Step 4: Simplify right side
    30,774x = 1,096,979,867.08
  5. Step 5: Solve for x
    x = 1,096,979,867.08/30,774
  6. Step 6: Final answer
    x = 35,646.32

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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.