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Finding the Fourth Proportional to 77,082.59, 106,391.12 and 46,861.50

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Solution

The fourth proportional to 77,082.59, 106,391.12 and 46,861.50 is: 64,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.59 : 106,391.12 = 46,861.50 : x
  2. Step 2: Convert to fraction form
    77,082.59/106,391.12 = 46,861.50/x
  3. Step 3: Cross multiply
    77,082.59x = 106,391.12 × 46,861.50
  4. Step 4: Simplify right side
    77,082.59x = 4,985,647,469.88
  5. Step 5: Solve for x
    x = 4,985,647,469.88/77,082.59
  6. Step 6: Final answer
    x = 64,679.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.