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Finding the Fourth Proportional to 57,777.60, 86,674.80 and 24,497.60

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Solution

The fourth proportional to 57,777.60, 86,674.80 and 24,497.60 is: 36,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,777.60 : 86,674.80 = 24,497.60 : x
  2. Step 2: Convert to fraction form
    57,777.60/86,674.80 = 24,497.60/x
  3. Step 3: Cross multiply
    57,777.60x = 86,674.80 × 24,497.60
  4. Step 4: Simplify right side
    57,777.60x = 2,123,324,580.48
  5. Step 5: Solve for x
    x = 2,123,324,580.48/57,777.60
  6. Step 6: Final answer
    x = 36,749.96

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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.