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Finding the Fourth Proportional to 85,263.94, 117,664.50 and 47,539.54

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Solution

The fourth proportional to 85,263.94, 117,664.50 and 47,539.54 is: 65,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,263.94 : 117,664.50 = 47,539.54 : x
  2. Step 2: Convert to fraction form
    85,263.94/117,664.50 = 47,539.54/x
  3. Step 3: Cross multiply
    85,263.94x = 117,664.50 × 47,539.54
  4. Step 4: Simplify right side
    85,263.94x = 5,593,716,204.33
  5. Step 5: Solve for x
    x = 5,593,716,204.33/85,263.94
  6. Step 6: Final answer
    x = 65,604.71

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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.