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Finding the Fourth Proportional to 37,204.56, 51,340.44 and 20,438.16

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Solution

The fourth proportional to 37,204.56, 51,340.44 and 20,438.16 is: 28,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,204.56 : 51,340.44 = 20,438.16 : x
  2. Step 2: Convert to fraction form
    37,204.56/51,340.44 = 20,438.16/x
  3. Step 3: Cross multiply
    37,204.56x = 51,340.44 × 20,438.16
  4. Step 4: Simplify right side
    37,204.56x = 1,049,304,127.19
  5. Step 5: Solve for x
    x = 1,049,304,127.19/37,204.56
  6. Step 6: Final answer
    x = 28,203.64

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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.