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Finding the Fourth Proportional to 33,638.16, 50,427.04 and 13,904.08

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Solution

The fourth proportional to 33,638.16, 50,427.04 and 13,904.08 is: 20,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.16 : 50,427.04 = 13,904.08 : x
  2. Step 2: Convert to fraction form
    33,638.16/50,427.04 = 13,904.08/x
  3. Step 3: Cross multiply
    33,638.16x = 50,427.04 × 13,904.08
  4. Step 4: Simplify right side
    33,638.16x = 701,141,598.32
  5. Step 5: Solve for x
    x = 701,141,598.32/33,638.16
  6. Step 6: Final answer
    x = 20,843.64

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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.