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Finding the Fourth Proportional to 33,870.96, 50,814.90 and 14,139.36

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Solution

The fourth proportional to 33,870.96, 50,814.90 and 14,139.36 is: 21,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870.96 : 50,814.90 = 14,139.36 : x
  2. Step 2: Convert to fraction form
    33,870.96/50,814.90 = 14,139.36/x
  3. Step 3: Cross multiply
    33,870.96x = 50,814.90 × 14,139.36
  4. Step 4: Simplify right side
    33,870.96x = 718,490,164.46
  5. Step 5: Solve for x
    x = 718,490,164.46/33,870.96
  6. Step 6: Final answer
    x = 21,212.57

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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.