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Finding the Fourth Proportional to 77,082.84, 106,391.47 and 46,861.75

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Solution

The fourth proportional to 77,082.84, 106,391.47 and 46,861.75 is: 64,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.84 : 106,391.47 = 46,861.75 : x
  2. Step 2: Convert to fraction form
    77,082.84/106,391.47 = 46,861.75/x
  3. Step 3: Cross multiply
    77,082.84x = 106,391.47 × 46,861.75
  4. Step 4: Simplify right side
    77,082.84x = 4,985,690,234.96
  5. Step 5: Solve for x
    x = 4,985,690,234.96/77,082.84
  6. Step 6: Final answer
    x = 64,679.64

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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.