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Finding the Fourth Proportional to 33,564.40, 50,353.32 and 12,790

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Solution

The fourth proportional to 33,564.40, 50,353.32 and 12,790 is: 19,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.40 : 50,353.32 = 12,790 : x
  2. Step 2: Convert to fraction form
    33,564.40/50,353.32 = 12,790/x
  3. Step 3: Cross multiply
    33,564.40x = 50,353.32 × 12,790
  4. Step 4: Simplify right side
    33,564.40x = 644,018,962.80
  5. Step 5: Solve for x
    x = 644,018,962.80/33,564.40
  6. Step 6: Final answer
    x = 19,187.56

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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.