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Finding the Fourth Proportional to 85,374.84, 117,817.26 and 49,571.64

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Solution

The fourth proportional to 85,374.84, 117,817.26 and 49,571.64 is: 68,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374.84 : 117,817.26 = 49,571.64 : x
  2. Step 2: Convert to fraction form
    85,374.84/117,817.26 = 49,571.64/x
  3. Step 3: Cross multiply
    85,374.84x = 117,817.26 × 49,571.64
  4. Step 4: Simplify right side
    85,374.84x = 5,840,394,798.51
  5. Step 5: Solve for x
    x = 5,840,394,798.51/85,374.84
  6. Step 6: Final answer
    x = 68,408.85

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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.