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Finding the Fourth Proportional to 33,051.38, 49,577.06 and 8,427.38

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Solution

The fourth proportional to 33,051.38, 49,577.06 and 8,427.38 is: 12,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.38 : 49,577.06 = 8,427.38 : x
  2. Step 2: Convert to fraction form
    33,051.38/49,577.06 = 8,427.38/x
  3. Step 3: Cross multiply
    33,051.38x = 49,577.06 × 8,427.38
  4. Step 4: Simplify right side
    33,051.38x = 417,804,497.09
  5. Step 5: Solve for x
    x = 417,804,497.09/33,051.38
  6. Step 6: Final answer
    x = 12,641.06

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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.