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Finding the Fourth Proportional to 29,400.72, 44,100 and 7,214.16

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Solution

The fourth proportional to 29,400.72, 44,100 and 7,214.16 is: 10,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400.72 : 44,100 = 7,214.16 : x
  2. Step 2: Convert to fraction form
    29,400.72/44,100 = 7,214.16/x
  3. Step 3: Cross multiply
    29,400.72x = 44,100 × 7,214.16
  4. Step 4: Simplify right side
    29,400.72x = 318,144,456
  5. Step 5: Solve for x
    x = 318,144,456/29,400.72
  6. Step 6: Final answer
    x = 10,820.97

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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.