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Finding the Fourth Proportional to 34,186.80, 51,283.80 and 14,194.02

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Solution

The fourth proportional to 34,186.80, 51,283.80 and 14,194.02 is: 21,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.80 : 51,283.80 = 14,194.02 : x
  2. Step 2: Convert to fraction form
    34,186.80/51,283.80 = 14,194.02/x
  3. Step 3: Cross multiply
    34,186.80x = 51,283.80 × 14,194.02
  4. Step 4: Simplify right side
    34,186.80x = 727,923,282.88
  5. Step 5: Solve for x
    x = 727,923,282.88/34,186.80
  6. Step 6: Final answer
    x = 21,292.52

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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.