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Finding the Fourth Proportional to 37,782.42, 52,141.49 and 21,863.80

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Solution

The fourth proportional to 37,782.42, 52,141.49 and 21,863.80 is: 30,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.42 : 52,141.49 = 21,863.80 : x
  2. Step 2: Convert to fraction form
    37,782.42/52,141.49 = 21,863.80/x
  3. Step 3: Cross multiply
    37,782.42x = 52,141.49 × 21,863.80
  4. Step 4: Simplify right side
    37,782.42x = 1,140,011,109.06
  5. Step 5: Solve for x
    x = 1,140,011,109.06/37,782.42
  6. Step 6: Final answer
    x = 30,173.06

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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.