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Finding the Fourth Proportional to 33,647, 46,432.86 and 19,508.06

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Solution

The fourth proportional to 33,647, 46,432.86 and 19,508.06 is: 26,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647 : 46,432.86 = 19,508.06 : x
  2. Step 2: Convert to fraction form
    33,647/46,432.86 = 19,508.06/x
  3. Step 3: Cross multiply
    33,647x = 46,432.86 × 19,508.06
  4. Step 4: Simplify right side
    33,647x = 905,815,018.85
  5. Step 5: Solve for x
    x = 905,815,018.85/33,647
  6. Step 6: Final answer
    x = 26,921.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.