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Finding the Fourth Proportional to 83,025, 114,562.94 and 47,211.05

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Solution

The fourth proportional to 83,025, 114,562.94 and 47,211.05 is: 65,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025 : 114,562.94 = 47,211.05 : x
  2. Step 2: Convert to fraction form
    83,025/114,562.94 = 47,211.05/x
  3. Step 3: Cross multiply
    83,025x = 114,562.94 × 47,211.05
  4. Step 4: Simplify right side
    83,025x = 5,408,635,879.62
  5. Step 5: Solve for x
    x = 5,408,635,879.62/83,025
  6. Step 6: Final answer
    x = 65,144.67

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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.