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Finding the Fourth Proportional to 82,162.85, 113,453.87 and 52,001.39

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Solution

The fourth proportional to 82,162.85, 113,453.87 and 52,001.39 is: 71,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162.85 : 113,453.87 = 52,001.39 : x
  2. Step 2: Convert to fraction form
    82,162.85/113,453.87 = 52,001.39/x
  3. Step 3: Cross multiply
    82,162.85x = 113,453.87 × 52,001.39
  4. Step 4: Simplify right side
    82,162.85x = 5,899,758,113.60
  5. Step 5: Solve for x
    x = 5,899,758,113.60/82,162.85
  6. Step 6: Final answer
    x = 71,805.67

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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.