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Finding the Fourth Proportional to 31,117.92, 46,676.40 and 7,744.56

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Solution

The fourth proportional to 31,117.92, 46,676.40 and 7,744.56 is: 11,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.92 : 46,676.40 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    31,117.92/46,676.40 = 7,744.56/x
  3. Step 3: Cross multiply
    31,117.92x = 46,676.40 × 7,744.56
  4. Step 4: Simplify right side
    31,117.92x = 361,488,180.38
  5. Step 5: Solve for x
    x = 361,488,180.38/31,117.92
  6. Step 6: Final answer
    x = 11,616.72

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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.