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Finding the Fourth Proportional to 29,054.94, 43,544.25 and 13,438.14

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Solution

The fourth proportional to 29,054.94, 43,544.25 and 13,438.14 is: 20,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054.94 : 43,544.25 = 13,438.14 : x
  2. Step 2: Convert to fraction form
    29,054.94/43,544.25 = 13,438.14/x
  3. Step 3: Cross multiply
    29,054.94x = 43,544.25 × 13,438.14
  4. Step 4: Simplify right side
    29,054.94x = 585,153,727.70
  5. Step 5: Solve for x
    x = 585,153,727.70/29,054.94
  6. Step 6: Final answer
    x = 20,139.56

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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.