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Finding the Fourth Proportional to 51,684.70, 71,323.96 and 29,023.86

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Solution

The fourth proportional to 51,684.70, 71,323.96 and 29,023.86 is: 40,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,684.70 : 71,323.96 = 29,023.86 : x
  2. Step 2: Convert to fraction form
    51,684.70/71,323.96 = 29,023.86/x
  3. Step 3: Cross multiply
    51,684.70x = 71,323.96 × 29,023.86
  4. Step 4: Simplify right side
    51,684.70x = 2,070,096,629.69
  5. Step 5: Solve for x
    x = 2,070,096,629.69/51,684.70
  6. Step 6: Final answer
    x = 40,052.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.