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Finding the Fourth Proportional to 54,655.66, 75,422.84 and 30,784.56

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Solution

The fourth proportional to 54,655.66, 75,422.84 and 30,784.56 is: 42,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655.66 : 75,422.84 = 30,784.56 : x
  2. Step 2: Convert to fraction form
    54,655.66/75,422.84 = 30,784.56/x
  3. Step 3: Cross multiply
    54,655.66x = 75,422.84 × 30,784.56
  4. Step 4: Simplify right side
    54,655.66x = 2,321,858,943.35
  5. Step 5: Solve for x
    x = 2,321,858,943.35/54,655.66
  6. Step 6: Final answer
    x = 42,481.58

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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.