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Finding the Fourth Proportional to 54,184.74, 74,775.21 and 30,311.40

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Solution

The fourth proportional to 54,184.74, 74,775.21 and 30,311.40 is: 41,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,184.74 : 74,775.21 = 30,311.40 : x
  2. Step 2: Convert to fraction form
    54,184.74/74,775.21 = 30,311.40/x
  3. Step 3: Cross multiply
    54,184.74x = 74,775.21 × 30,311.40
  4. Step 4: Simplify right side
    54,184.74x = 2,266,541,300.39
  5. Step 5: Solve for x
    x = 2,266,541,300.39/54,184.74
  6. Step 6: Final answer
    x = 41,829.88

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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.