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Finding the Fourth Proportional to 54,050.96, 74,589.60 and 30,178

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Solution

The fourth proportional to 54,050.96, 74,589.60 and 30,178 is: 41,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,050.96 : 74,589.60 = 30,178 : x
  2. Step 2: Convert to fraction form
    54,050.96/74,589.60 = 30,178/x
  3. Step 3: Cross multiply
    54,050.96x = 74,589.60 × 30,178
  4. Step 4: Simplify right side
    54,050.96x = 2,250,964,948.80
  5. Step 5: Solve for x
    x = 2,250,964,948.80/54,050.96
  6. Step 6: Final answer
    x = 41,645.24

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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.