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Finding the Fourth Proportional to 57,296, 85,948.86 and 15,743

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Solution

The fourth proportional to 57,296, 85,948.86 and 15,743 is: 23,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296 : 85,948.86 = 15,743 : x
  2. Step 2: Convert to fraction form
    57,296/85,948.86 = 15,743/x
  3. Step 3: Cross multiply
    57,296x = 85,948.86 × 15,743
  4. Step 4: Simplify right side
    57,296x = 1,353,092,902.98
  5. Step 5: Solve for x
    x = 1,353,092,902.98/57,296
  6. Step 6: Final answer
    x = 23,615.84

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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.