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Finding the Fourth Proportional to 51,874.56, 71,580.96 and 29,213.01

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Solution

The fourth proportional to 51,874.56, 71,580.96 and 29,213.01 is: 40,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.56 : 71,580.96 = 29,213.01 : x
  2. Step 2: Convert to fraction form
    51,874.56/71,580.96 = 29,213.01/x
  3. Step 3: Cross multiply
    51,874.56x = 71,580.96 × 29,213.01
  4. Step 4: Simplify right side
    51,874.56x = 2,091,095,300.29
  5. Step 5: Solve for x
    x = 2,091,095,300.29/51,874.56
  6. Step 6: Final answer
    x = 40,310.61

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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.