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Finding the Fourth Proportional to 30,588.67, 45,874.18 and 8,402.77

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Solution

The fourth proportional to 30,588.67, 45,874.18 and 8,402.77 is: 12,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.67 : 45,874.18 = 8,402.77 : x
  2. Step 2: Convert to fraction form
    30,588.67/45,874.18 = 8,402.77/x
  3. Step 3: Cross multiply
    30,588.67x = 45,874.18 × 8,402.77
  4. Step 4: Simplify right side
    30,588.67x = 385,470,183.48
  5. Step 5: Solve for x
    x = 385,470,183.48/30,588.67
  6. Step 6: Final answer
    x = 12,601.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.