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Finding the Fourth Proportional to 34,142.64, 51,203.94 and 11,951.88

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Solution

The fourth proportional to 34,142.64, 51,203.94 and 11,951.88 is: 17,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.64 : 51,203.94 = 11,951.88 : x
  2. Step 2: Convert to fraction form
    34,142.64/51,203.94 = 11,951.88/x
  3. Step 3: Cross multiply
    34,142.64x = 51,203.94 × 11,951.88
  4. Step 4: Simplify right side
    34,142.64x = 611,983,346.41
  5. Step 5: Solve for x
    x = 611,983,346.41/34,142.64
  6. Step 6: Final answer
    x = 17,924.31

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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.