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Finding the Fourth Proportional to 51,674.56, 71,332.56 and 34,930.24

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Solution

The fourth proportional to 51,674.56, 71,332.56 and 34,930.24 is: 48,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674.56 : 71,332.56 = 34,930.24 : x
  2. Step 2: Convert to fraction form
    51,674.56/71,332.56 = 34,930.24/x
  3. Step 3: Cross multiply
    51,674.56x = 71,332.56 × 34,930.24
  4. Step 4: Simplify right side
    51,674.56x = 2,491,663,440.61
  5. Step 5: Solve for x
    x = 2,491,663,440.61/51,674.56
  6. Step 6: Final answer
    x = 48,218.38

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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.