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Finding the Fourth Proportional to 31,115.28, 46,672.80 and 7,741.72

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Solution

The fourth proportional to 31,115.28, 46,672.80 and 7,741.72 is: 11,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.28 : 46,672.80 = 7,741.72 : x
  2. Step 2: Convert to fraction form
    31,115.28/46,672.80 = 7,741.72/x
  3. Step 3: Cross multiply
    31,115.28x = 46,672.80 × 7,741.72
  4. Step 4: Simplify right side
    31,115.28x = 361,327,749.22
  5. Step 5: Solve for x
    x = 361,327,749.22/31,115.28
  6. Step 6: Final answer
    x = 11,612.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.