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Finding the Fourth Proportional to 57,236.82, 85,854.31 and 15,683.82

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Solution

The fourth proportional to 57,236.82, 85,854.31 and 15,683.82 is: 23,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,236.82 : 85,854.31 = 15,683.82 : x
  2. Step 2: Convert to fraction form
    57,236.82/85,854.31 = 15,683.82/x
  3. Step 3: Cross multiply
    57,236.82x = 85,854.31 × 15,683.82
  4. Step 4: Simplify right side
    57,236.82x = 1,346,523,114.99
  5. Step 5: Solve for x
    x = 1,346,523,114.99/57,236.82
  6. Step 6: Final answer
    x = 23,525.47

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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.