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Finding the Fourth Proportional to 74,408.56, 102,683.82 and 40,874.56

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Solution

The fourth proportional to 74,408.56, 102,683.82 and 40,874.56 is: 56,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,408.56 : 102,683.82 = 40,874.56 : x
  2. Step 2: Convert to fraction form
    74,408.56/102,683.82 = 40,874.56/x
  3. Step 3: Cross multiply
    74,408.56x = 102,683.82 × 40,874.56
  4. Step 4: Simplify right side
    74,408.56x = 4,197,155,961.62
  5. Step 5: Solve for x
    x = 4,197,155,961.62/74,408.56
  6. Step 6: Final answer
    x = 56,406.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.