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Finding the Fourth Proportional to 54,634.65, 75,394.74 and 30,760.80

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Solution

The fourth proportional to 54,634.65, 75,394.74 and 30,760.80 is: 42,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634.65 : 75,394.74 = 30,760.80 : x
  2. Step 2: Convert to fraction form
    54,634.65/75,394.74 = 30,760.80/x
  3. Step 3: Cross multiply
    54,634.65x = 75,394.74 × 30,760.80
  4. Step 4: Simplify right side
    54,634.65x = 2,319,202,518.19
  5. Step 5: Solve for x
    x = 2,319,202,518.19/54,634.65
  6. Step 6: Final answer
    x = 42,449.30

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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.