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Finding the Fourth Proportional to 68,009.85, 101,914.34 and 32,907.69

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Solution

The fourth proportional to 68,009.85, 101,914.34 and 32,907.69 is: 49,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,009.85 : 101,914.34 = 32,907.69 : x
  2. Step 2: Convert to fraction form
    68,009.85/101,914.34 = 32,907.69/x
  3. Step 3: Cross multiply
    68,009.85x = 101,914.34 × 32,907.69
  4. Step 4: Simplify right side
    68,009.85x = 3,353,765,342.74
  5. Step 5: Solve for x
    x = 3,353,765,342.74/68,009.85
  6. Step 6: Final answer
    x = 49,312.94

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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.