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Finding the Fourth Proportional to 34,033.37, 50,998.08 and 14,301.14

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Solution

The fourth proportional to 34,033.37, 50,998.08 and 14,301.14 is: 21,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.37 : 50,998.08 = 14,301.14 : x
  2. Step 2: Convert to fraction form
    34,033.37/50,998.08 = 14,301.14/x
  3. Step 3: Cross multiply
    34,033.37x = 50,998.08 × 14,301.14
  4. Step 4: Simplify right side
    34,033.37x = 729,330,681.81
  5. Step 5: Solve for x
    x = 729,330,681.81/34,033.37
  6. Step 6: Final answer
    x = 21,429.87

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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.