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Finding the Fourth Proportional to 33,412.71, 50,113.01 and 13,421.39

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Solution

The fourth proportional to 33,412.71, 50,113.01 and 13,421.39 is: 20,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.71 : 50,113.01 = 13,421.39 : x
  2. Step 2: Convert to fraction form
    33,412.71/50,113.01 = 13,421.39/x
  3. Step 3: Cross multiply
    33,412.71x = 50,113.01 × 13,421.39
  4. Step 4: Simplify right side
    33,412.71x = 672,586,372.10
  5. Step 5: Solve for x
    x = 672,586,372.10/33,412.71
  6. Step 6: Final answer
    x = 20,129.66

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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.