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Finding the Fourth Proportional to 38,564.80, 57,760.80 and 23,012.80

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Solution

The fourth proportional to 38,564.80, 57,760.80 and 23,012.80 is: 34,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.80 : 57,760.80 = 23,012.80 : x
  2. Step 2: Convert to fraction form
    38,564.80/57,760.80 = 23,012.80/x
  3. Step 3: Cross multiply
    38,564.80x = 57,760.80 × 23,012.80
  4. Step 4: Simplify right side
    38,564.80x = 1,329,237,738.24
  5. Step 5: Solve for x
    x = 1,329,237,738.24/38,564.80
  6. Step 6: Final answer
    x = 34,467.64

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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.