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Finding the Fourth Proportional to 57,784.80, 86,485.20 and 41,944.80

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Solution

The fourth proportional to 57,784.80, 86,485.20 and 41,944.80 is: 62,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.80 : 86,485.20 = 41,944.80 : x
  2. Step 2: Convert to fraction form
    57,784.80/86,485.20 = 41,944.80/x
  3. Step 3: Cross multiply
    57,784.80x = 86,485.20 × 41,944.80
  4. Step 4: Simplify right side
    57,784.80x = 3,627,604,416.96
  5. Step 5: Solve for x
    x = 3,627,604,416.96/57,784.80
  6. Step 6: Final answer
    x = 62,777.83

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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.