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Finding the Fourth Proportional to 33,430.98, 50,146.46 and 13,696.06

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Solution

The fourth proportional to 33,430.98, 50,146.46 and 13,696.06 is: 20,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,430.98 : 50,146.46 = 13,696.06 : x
  2. Step 2: Convert to fraction form
    33,430.98/50,146.46 = 13,696.06/x
  3. Step 3: Cross multiply
    33,430.98x = 50,146.46 × 13,696.06
  4. Step 4: Simplify right side
    33,430.98x = 686,808,924.95
  5. Step 5: Solve for x
    x = 686,808,924.95/33,430.98
  6. Step 6: Final answer
    x = 20,544.09

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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.