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Finding the Fourth Proportional to 29,744.54, 41,054.64 and 20,200.35

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Solution

The fourth proportional to 29,744.54, 41,054.64 and 20,200.35 is: 27,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744.54 : 41,054.64 = 20,200.35 : x
  2. Step 2: Convert to fraction form
    29,744.54/41,054.64 = 20,200.35/x
  3. Step 3: Cross multiply
    29,744.54x = 41,054.64 × 20,200.35
  4. Step 4: Simplify right side
    29,744.54x = 829,318,097.12
  5. Step 5: Solve for x
    x = 829,318,097.12/29,744.54
  6. Step 6: Final answer
    x = 27,881.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.