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Finding the Fourth Proportional to 33,832.08, 46,683.72 and 19,674

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Solution

The fourth proportional to 33,832.08, 46,683.72 and 19,674 is: 27,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.08 : 46,683.72 = 19,674 : x
  2. Step 2: Convert to fraction form
    33,832.08/46,683.72 = 19,674/x
  3. Step 3: Cross multiply
    33,832.08x = 46,683.72 × 19,674
  4. Step 4: Simplify right side
    33,832.08x = 918,455,507.28
  5. Step 5: Solve for x
    x = 918,455,507.28/33,832.08
  6. Step 6: Final answer
    x = 27,147.47

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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.