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Finding the Fourth Proportional to 34,201.20, 51,301.80 and 31,576.80

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Solution

The fourth proportional to 34,201.20, 51,301.80 and 31,576.80 is: 47,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.20 : 51,301.80 = 31,576.80 : x
  2. Step 2: Convert to fraction form
    34,201.20/51,301.80 = 31,576.80/x
  3. Step 3: Cross multiply
    34,201.20x = 51,301.80 × 31,576.80
  4. Step 4: Simplify right side
    34,201.20x = 1,619,946,678.24
  5. Step 5: Solve for x
    x = 1,619,946,678.24/34,201.20
  6. Step 6: Final answer
    x = 47,365.20

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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.