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Finding the Fourth Proportional to 54,499.63, 75,178.72 and 34,321.82

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Solution

The fourth proportional to 54,499.63, 75,178.72 and 34,321.82 is: 47,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499.63 : 75,178.72 = 34,321.82 : x
  2. Step 2: Convert to fraction form
    54,499.63/75,178.72 = 34,321.82/x
  3. Step 3: Cross multiply
    54,499.63x = 75,178.72 × 34,321.82
  4. Step 4: Simplify right side
    54,499.63x = 2,580,270,324.06
  5. Step 5: Solve for x
    x = 2,580,270,324.06/54,499.63
  6. Step 6: Final answer
    x = 47,344.73

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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.