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Finding the Fourth Proportional to 85,941.18, 118,571.84 and 49,638

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Solution

The fourth proportional to 85,941.18, 118,571.84 and 49,638 is: 68,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,941.18 : 118,571.84 = 49,638 : x
  2. Step 2: Convert to fraction form
    85,941.18/118,571.84 = 49,638/x
  3. Step 3: Cross multiply
    85,941.18x = 118,571.84 × 49,638
  4. Step 4: Simplify right side
    85,941.18x = 5,885,668,993.92
  5. Step 5: Solve for x
    x = 5,885,668,993.92/85,941.18
  6. Step 6: Final answer
    x = 68,484.85

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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.