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Finding the Fourth Proportional to 68,186.34, 102,289.23 and 33,102

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Solution

The fourth proportional to 68,186.34, 102,289.23 and 33,102 is: 49,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,186.34 : 102,289.23 = 33,102 : x
  2. Step 2: Convert to fraction form
    68,186.34/102,289.23 = 33,102/x
  3. Step 3: Cross multiply
    68,186.34x = 102,289.23 × 33,102
  4. Step 4: Simplify right side
    68,186.34x = 3,385,978,091.46
  5. Step 5: Solve for x
    x = 3,385,978,091.46/68,186.34
  6. Step 6: Final answer
    x = 49,657.72

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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.