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Finding the Fourth Proportional to 29,274, 43,911.10 and 7,087.33

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Solution

The fourth proportional to 29,274, 43,911.10 and 7,087.33 is: 10,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,274 : 43,911.10 = 7,087.33 : x
  2. Step 2: Convert to fraction form
    29,274/43,911.10 = 7,087.33/x
  3. Step 3: Cross multiply
    29,274x = 43,911.10 × 7,087.33
  4. Step 4: Simplify right side
    29,274x = 311,212,456.36
  5. Step 5: Solve for x
    x = 311,212,456.36/29,274
  6. Step 6: Final answer
    x = 10,631.02

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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.