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Finding the Fourth Proportional to 54,185.20, 74,775.58 and 30,311.88

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Solution

The fourth proportional to 54,185.20, 74,775.58 and 30,311.88 is: 41,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,185.20 : 74,775.58 = 30,311.88 : x
  2. Step 2: Convert to fraction form
    54,185.20/74,775.58 = 30,311.88/x
  3. Step 3: Cross multiply
    54,185.20x = 74,775.58 × 30,311.88
  4. Step 4: Simplify right side
    54,185.20x = 2,266,588,189.53
  5. Step 5: Solve for x
    x = 2,266,588,189.53/54,185.20
  6. Step 6: Final answer
    x = 41,830.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.