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Finding the Fourth Proportional to 54,057.50, 74,590.45 and 30,180.34

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Solution

The fourth proportional to 54,057.50, 74,590.45 and 30,180.34 is: 41,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057.50 : 74,590.45 = 30,180.34 : x
  2. Step 2: Convert to fraction form
    54,057.50/74,590.45 = 30,180.34/x
  3. Step 3: Cross multiply
    54,057.50x = 74,590.45 × 30,180.34
  4. Step 4: Simplify right side
    54,057.50x = 2,251,165,141.75
  5. Step 5: Solve for x
    x = 2,251,165,141.75/54,057.50
  6. Step 6: Final answer
    x = 41,643.90

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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.