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Finding the Fourth Proportional to 37,980.19, 52,408.19 and 20,983.42

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Solution

The fourth proportional to 37,980.19, 52,408.19 and 20,983.42 is: 28,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.19 : 52,408.19 = 20,983.42 : x
  2. Step 2: Convert to fraction form
    37,980.19/52,408.19 = 20,983.42/x
  3. Step 3: Cross multiply
    37,980.19x = 52,408.19 × 20,983.42
  4. Step 4: Simplify right side
    37,980.19x = 1,099,703,062.21
  5. Step 5: Solve for x
    x = 1,099,703,062.21/37,980.19
  6. Step 6: Final answer
    x = 28,954.65

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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.