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Finding the Fourth Proportional to 31,049.90, 46,573.94 and 7,676.34

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Solution

The fourth proportional to 31,049.90, 46,573.94 and 7,676.34 is: 11,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.90 : 46,573.94 = 7,676.34 : x
  2. Step 2: Convert to fraction form
    31,049.90/46,573.94 = 7,676.34/x
  3. Step 3: Cross multiply
    31,049.90x = 46,573.94 × 7,676.34
  4. Step 4: Simplify right side
    31,049.90x = 357,517,360.20
  5. Step 5: Solve for x
    x = 357,517,360.20/31,049.90
  6. Step 6: Final answer
    x = 11,514.29

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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.