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Finding the Fourth Proportional to 54,182.81, 74,775.18 and 30,308.06

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Solution

The fourth proportional to 54,182.81, 74,775.18 and 30,308.06 is: 41,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182.81 : 74,775.18 = 30,308.06 : x
  2. Step 2: Convert to fraction form
    54,182.81/74,775.18 = 30,308.06/x
  3. Step 3: Cross multiply
    54,182.81x = 74,775.18 × 30,308.06
  4. Step 4: Simplify right side
    54,182.81x = 2,266,290,116.53
  5. Step 5: Solve for x
    x = 2,266,290,116.53/54,182.81
  6. Step 6: Final answer
    x = 41,826.74

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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.