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Finding the Fourth Proportional to 37,096.26, 55,643.63 and 9,016.48

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Solution

The fourth proportional to 37,096.26, 55,643.63 and 9,016.48 is: 13,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,096.26 : 55,643.63 = 9,016.48 : x
  2. Step 2: Convert to fraction form
    37,096.26/55,643.63 = 9,016.48/x
  3. Step 3: Cross multiply
    37,096.26x = 55,643.63 × 9,016.48
  4. Step 4: Simplify right side
    37,096.26x = 501,709,701.49
  5. Step 5: Solve for x
    x = 501,709,701.49/37,096.26
  6. Step 6: Final answer
    x = 13,524.54

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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.