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Finding the Fourth Proportional to 33,564.40, 50,303.54 and 13,856.80

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Solution

The fourth proportional to 33,564.40, 50,303.54 and 13,856.80 is: 20,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.40 : 50,303.54 = 13,856.80 : x
  2. Step 2: Convert to fraction form
    33,564.40/50,303.54 = 13,856.80/x
  3. Step 3: Cross multiply
    33,564.40x = 50,303.54 × 13,856.80
  4. Step 4: Simplify right side
    33,564.40x = 697,046,093.07
  5. Step 5: Solve for x
    x = 697,046,093.07/33,564.40
  6. Step 6: Final answer
    x = 20,767.42

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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.