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Finding the Fourth Proportional to 54,183.69, 74,779.11 and 31,214.30

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Solution

The fourth proportional to 54,183.69, 74,779.11 and 31,214.30 is: 43,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,183.69 : 74,779.11 = 31,214.30 : x
  2. Step 2: Convert to fraction form
    54,183.69/74,779.11 = 31,214.30/x
  3. Step 3: Cross multiply
    54,183.69x = 74,779.11 × 31,214.30
  4. Step 4: Simplify right side
    54,183.69x = 2,334,177,199.38
  5. Step 5: Solve for x
    x = 2,334,177,199.38/54,183.69
  6. Step 6: Final answer
    x = 43,078.96

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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.