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Finding the Fourth Proportional to 31,408.41, 43,346.01 and 17,983.87

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Solution

The fourth proportional to 31,408.41, 43,346.01 and 17,983.87 is: 24,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.41 : 43,346.01 = 17,983.87 : x
  2. Step 2: Convert to fraction form
    31,408.41/43,346.01 = 17,983.87/x
  3. Step 3: Cross multiply
    31,408.41x = 43,346.01 × 17,983.87
  4. Step 4: Simplify right side
    31,408.41x = 779,529,008.86
  5. Step 5: Solve for x
    x = 779,529,008.86/31,408.41
  6. Step 6: Final answer
    x = 24,819.12

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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.