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Finding the Fourth Proportional to 34,594.88, 51,892.31 and 11,221.31

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Solution

The fourth proportional to 34,594.88, 51,892.31 and 11,221.31 is: 16,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,594.88 : 51,892.31 = 11,221.31 : x
  2. Step 2: Convert to fraction form
    34,594.88/51,892.31 = 11,221.31/x
  3. Step 3: Cross multiply
    34,594.88x = 51,892.31 × 11,221.31
  4. Step 4: Simplify right side
    34,594.88x = 582,299,854.91
  5. Step 5: Solve for x
    x = 582,299,854.91/34,594.88
  6. Step 6: Final answer
    x = 16,831.97

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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.