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Finding the Fourth Proportional to 57,753, 79,699.14 and 31,257

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Solution

The fourth proportional to 57,753, 79,699.14 and 31,257 is: 43,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,753 : 79,699.14 = 31,257 : x
  2. Step 2: Convert to fraction form
    57,753/79,699.14 = 31,257/x
  3. Step 3: Cross multiply
    57,753x = 79,699.14 × 31,257
  4. Step 4: Simplify right side
    57,753x = 2,491,156,018.98
  5. Step 5: Solve for x
    x = 2,491,156,018.98/57,753
  6. Step 6: Final answer
    x = 43,134.66

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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.