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Finding the Fourth Proportional to 54,709.39, 75,506.07 and 30,843.55

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Solution

The fourth proportional to 54,709.39, 75,506.07 and 30,843.55 is: 42,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709.39 : 75,506.07 = 30,843.55 : x
  2. Step 2: Convert to fraction form
    54,709.39/75,506.07 = 30,843.55/x
  3. Step 3: Cross multiply
    54,709.39x = 75,506.07 × 30,843.55
  4. Step 4: Simplify right side
    54,709.39x = 2,328,875,245.35
  5. Step 5: Solve for x
    x = 2,328,875,245.35/54,709.39
  6. Step 6: Final answer
    x = 42,568.11

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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.