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Finding the Fourth Proportional to 51,493.63, 71,062.29 and 29,137.63

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Solution

The fourth proportional to 51,493.63, 71,062.29 and 29,137.63 is: 40,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.63 : 71,062.29 = 29,137.63 : x
  2. Step 2: Convert to fraction form
    51,493.63/71,062.29 = 29,137.63/x
  3. Step 3: Cross multiply
    51,493.63x = 71,062.29 × 29,137.63
  4. Step 4: Simplify right side
    51,493.63x = 2,070,586,211.97
  5. Step 5: Solve for x
    x = 2,070,586,211.97/51,493.63
  6. Step 6: Final answer
    x = 40,210.54

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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.