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Finding the Fourth Proportional to 34,597.26, 51,885 and 11,218.86

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Solution

The fourth proportional to 34,597.26, 51,885 and 11,218.86 is: 16,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.26 : 51,885 = 11,218.86 : x
  2. Step 2: Convert to fraction form
    34,597.26/51,885 = 11,218.86/x
  3. Step 3: Cross multiply
    34,597.26x = 51,885 × 11,218.86
  4. Step 4: Simplify right side
    34,597.26x = 582,090,551.10
  5. Step 5: Solve for x
    x = 582,090,551.10/34,597.26
  6. Step 6: Final answer
    x = 16,824.76

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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.