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Finding the Fourth Proportional to 34,622.37, 47,775.42 and 21,197.43

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Solution

The fourth proportional to 34,622.37, 47,775.42 and 21,197.43 is: 29,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,622.37 : 47,775.42 = 21,197.43 : x
  2. Step 2: Convert to fraction form
    34,622.37/47,775.42 = 21,197.43/x
  3. Step 3: Cross multiply
    34,622.37x = 47,775.42 × 21,197.43
  4. Step 4: Simplify right side
    34,622.37x = 1,012,716,121.17
  5. Step 5: Solve for x
    x = 1,012,716,121.17/34,622.37
  6. Step 6: Final answer
    x = 29,250.34

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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.