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Finding the Fourth Proportional to 37,884.08, 52,291.50 and 21,972.44

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Solution

The fourth proportional to 37,884.08, 52,291.50 and 21,972.44 is: 30,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.08 : 52,291.50 = 21,972.44 : x
  2. Step 2: Convert to fraction form
    37,884.08/52,291.50 = 21,972.44/x
  3. Step 3: Cross multiply
    37,884.08x = 52,291.50 × 21,972.44
  4. Step 4: Simplify right side
    37,884.08x = 1,148,971,846.26
  5. Step 5: Solve for x
    x = 1,148,971,846.26/37,884.08
  6. Step 6: Final answer
    x = 30,328.62

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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.