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Finding the Fourth Proportional to 34,679.16, 52,047.90 and 18,045

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Solution

The fourth proportional to 34,679.16, 52,047.90 and 18,045 is: 27,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,679.16 : 52,047.90 = 18,045 : x
  2. Step 2: Convert to fraction form
    34,679.16/52,047.90 = 18,045/x
  3. Step 3: Cross multiply
    34,679.16x = 52,047.90 × 18,045
  4. Step 4: Simplify right side
    34,679.16x = 939,204,355.50
  5. Step 5: Solve for x
    x = 939,204,355.50/34,679.16
  6. Step 6: Final answer
    x = 27,082.67

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Why These Related Problems?

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