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Finding the Fourth Proportional to 41,642.52, 57,465.46 and 22,779.24

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Solution

The fourth proportional to 41,642.52, 57,465.46 and 22,779.24 is: 31,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.52 : 57,465.46 = 22,779.24 : x
  2. Step 2: Convert to fraction form
    41,642.52/57,465.46 = 22,779.24/x
  3. Step 3: Cross multiply
    41,642.52x = 57,465.46 × 22,779.24
  4. Step 4: Simplify right side
    41,642.52x = 1,309,019,505.05
  5. Step 5: Solve for x
    x = 1,309,019,505.05/41,642.52
  6. Step 6: Final answer
    x = 31,434.69

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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.