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Finding the Fourth Proportional to 29,286.47, 43,929.29 and 7,100.03

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Solution

The fourth proportional to 29,286.47, 43,929.29 and 7,100.03 is: 10,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.47 : 43,929.29 = 7,100.03 : x
  2. Step 2: Convert to fraction form
    29,286.47/43,929.29 = 7,100.03/x
  3. Step 3: Cross multiply
    29,286.47x = 43,929.29 × 7,100.03
  4. Step 4: Simplify right side
    29,286.47x = 311,899,021.73
  5. Step 5: Solve for x
    x = 311,899,021.73/29,286.47
  6. Step 6: Final answer
    x = 10,649.94

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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.