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Finding the Fourth Proportional to 88,491.28, 132,749.40 and 33,082

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Solution

The fourth proportional to 88,491.28, 132,749.40 and 33,082 is: 49,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,491.28 : 132,749.40 = 33,082 : x
  2. Step 2: Convert to fraction form
    88,491.28/132,749.40 = 33,082/x
  3. Step 3: Cross multiply
    88,491.28x = 132,749.40 × 33,082
  4. Step 4: Simplify right side
    88,491.28x = 4,391,615,650.80
  5. Step 5: Solve for x
    x = 4,391,615,650.80/88,491.28
  6. Step 6: Final answer
    x = 49,627.67

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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.