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Finding the Fourth Proportional to 29,047.50, 43,578.54 and 8,271

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Solution

The fourth proportional to 29,047.50, 43,578.54 and 8,271 is: 12,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.50 : 43,578.54 = 8,271 : x
  2. Step 2: Convert to fraction form
    29,047.50/43,578.54 = 8,271/x
  3. Step 3: Cross multiply
    29,047.50x = 43,578.54 × 8,271
  4. Step 4: Simplify right side
    29,047.50x = 360,438,104.34
  5. Step 5: Solve for x
    x = 360,438,104.34/29,047.50
  6. Step 6: Final answer
    x = 12,408.58

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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.