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Finding the Fourth Proportional to 121,571.60, 182,227.80 and 46,662.80

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Solution

The fourth proportional to 121,571.60, 182,227.80 and 46,662.80 is: 69,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,571.60 : 182,227.80 = 46,662.80 : x
  2. Step 2: Convert to fraction form
    121,571.60/182,227.80 = 46,662.80/x
  3. Step 3: Cross multiply
    121,571.60x = 182,227.80 × 46,662.80
  4. Step 4: Simplify right side
    121,571.60x = 8,503,259,385.84
  5. Step 5: Solve for x
    x = 8,503,259,385.84/121,571.60
  6. Step 6: Final answer
    x = 69,944.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.