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Finding the Fourth Proportional to 68,194.76, 102,289.80 and 33,125

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Solution

The fourth proportional to 68,194.76, 102,289.80 and 33,125 is: 49,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194.76 : 102,289.80 = 33,125 : x
  2. Step 2: Convert to fraction form
    68,194.76/102,289.80 = 33,125/x
  3. Step 3: Cross multiply
    68,194.76x = 102,289.80 × 33,125
  4. Step 4: Simplify right side
    68,194.76x = 3,388,349,625
  5. Step 5: Solve for x
    x = 3,388,349,625/68,194.76
  6. Step 6: Final answer
    x = 49,686.36

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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.