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Finding the Fourth Proportional to 54,604.32, 75,338.88 and 30,729.60

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Solution

The fourth proportional to 54,604.32, 75,338.88 and 30,729.60 is: 42,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,604.32 : 75,338.88 = 30,729.60 : x
  2. Step 2: Convert to fraction form
    54,604.32/75,338.88 = 30,729.60/x
  3. Step 3: Cross multiply
    54,604.32x = 75,338.88 × 30,729.60
  4. Step 4: Simplify right side
    54,604.32x = 2,315,133,646.85
  5. Step 5: Solve for x
    x = 2,315,133,646.85/54,604.32
  6. Step 6: Final answer
    x = 42,398.36

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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.