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Finding the Fourth Proportional to 33,431.84, 50,128.61 and 13,699.63

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Solution

The fourth proportional to 33,431.84, 50,128.61 and 13,699.63 is: 20,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.84 : 50,128.61 = 13,699.63 : x
  2. Step 2: Convert to fraction form
    33,431.84/50,128.61 = 13,699.63/x
  3. Step 3: Cross multiply
    33,431.84x = 50,128.61 × 13,699.63
  4. Step 4: Simplify right side
    33,431.84x = 686,743,158.77
  5. Step 5: Solve for x
    x = 686,743,158.77/33,431.84
  6. Step 6: Final answer
    x = 20,541.59

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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.