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Finding the Fourth Proportional to 68,171.24, 102,303.56 and 23,798

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Solution

The fourth proportional to 68,171.24, 102,303.56 and 23,798 is: 35,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,171.24 : 102,303.56 = 23,798 : x
  2. Step 2: Convert to fraction form
    68,171.24/102,303.56 = 23,798/x
  3. Step 3: Cross multiply
    68,171.24x = 102,303.56 × 23,798
  4. Step 4: Simplify right side
    68,171.24x = 2,434,620,120.88
  5. Step 5: Solve for x
    x = 2,434,620,120.88/68,171.24
  6. Step 6: Final answer
    x = 35,713.30

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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.