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Finding the Fourth Proportional to 57,765.60, 86,677.20 and 32,824.80

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Solution

The fourth proportional to 57,765.60, 86,677.20 and 32,824.80 is: 49,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.60 : 86,677.20 = 32,824.80 : x
  2. Step 2: Convert to fraction form
    57,765.60/86,677.20 = 32,824.80/x
  3. Step 3: Cross multiply
    57,765.60x = 86,677.20 × 32,824.80
  4. Step 4: Simplify right side
    57,765.60x = 2,845,161,754.56
  5. Step 5: Solve for x
    x = 2,845,161,754.56/57,765.60
  6. Step 6: Final answer
    x = 49,253.57

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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.