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Finding the Fourth Proportional to 47,325.20, 70,998.60 and 16,160

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Solution

The fourth proportional to 47,325.20, 70,998.60 and 16,160 is: 24,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,325.20 : 70,998.60 = 16,160 : x
  2. Step 2: Convert to fraction form
    47,325.20/70,998.60 = 16,160/x
  3. Step 3: Cross multiply
    47,325.20x = 70,998.60 × 16,160
  4. Step 4: Simplify right side
    47,325.20x = 1,147,337,376
  5. Step 5: Solve for x
    x = 1,147,337,376/47,325.20
  6. Step 6: Final answer
    x = 24,243.69

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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.