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Finding the Fourth Proportional to 31,200.31, 43,064.16 and 17,779.52

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Solution

The fourth proportional to 31,200.31, 43,064.16 and 17,779.52 is: 24,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.31 : 43,064.16 = 17,779.52 : x
  2. Step 2: Convert to fraction form
    31,200.31/43,064.16 = 17,779.52/x
  3. Step 3: Cross multiply
    31,200.31x = 43,064.16 × 17,779.52
  4. Step 4: Simplify right side
    31,200.31x = 765,659,892.75
  5. Step 5: Solve for x
    x = 765,659,892.75/31,200.31
  6. Step 6: Final answer
    x = 24,540.14

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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.