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Finding the Fourth Proportional to 54,499.21, 75,206.49 and 31,840.30

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Solution

The fourth proportional to 54,499.21, 75,206.49 and 31,840.30 is: 43,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,499.21 : 75,206.49 = 31,840.30 : x
  2. Step 2: Convert to fraction form
    54,499.21/75,206.49 = 31,840.30/x
  3. Step 3: Cross multiply
    54,499.21x = 75,206.49 × 31,840.30
  4. Step 4: Simplify right side
    54,499.21x = 2,394,597,203.55
  5. Step 5: Solve for x
    x = 2,394,597,203.55/54,499.21
  6. Step 6: Final answer
    x = 43,938.20

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Why These Related Problems?

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