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Finding the Fourth Proportional to 43,098.34, 64,647.39 and 11,933.50

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Solution

The fourth proportional to 43,098.34, 64,647.39 and 11,933.50 is: 17,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.34 : 64,647.39 = 11,933.50 : x
  2. Step 2: Convert to fraction form
    43,098.34/64,647.39 = 11,933.50/x
  3. Step 3: Cross multiply
    43,098.34x = 64,647.39 × 11,933.50
  4. Step 4: Simplify right side
    43,098.34x = 771,469,628.57
  5. Step 5: Solve for x
    x = 771,469,628.57/43,098.34
  6. Step 6: Final answer
    x = 17,900.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.