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Finding the Fourth Proportional to 51,597.88, 71,194.20 and 33,719.20

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Solution

The fourth proportional to 51,597.88, 71,194.20 and 33,719.20 is: 46,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597.88 : 71,194.20 = 33,719.20 : x
  2. Step 2: Convert to fraction form
    51,597.88/71,194.20 = 33,719.20/x
  3. Step 3: Cross multiply
    51,597.88x = 71,194.20 × 33,719.20
  4. Step 4: Simplify right side
    51,597.88x = 2,400,611,468.64
  5. Step 5: Solve for x
    x = 2,400,611,468.64/51,597.88
  6. Step 6: Final answer
    x = 46,525.39

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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.