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Finding the Fourth Proportional to 31,115.54, 46,673.07 and 7,741.98

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Solution

The fourth proportional to 31,115.54, 46,673.07 and 7,741.98 is: 11,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.54 : 46,673.07 = 7,741.98 : x
  2. Step 2: Convert to fraction form
    31,115.54/46,673.07 = 7,741.98/x
  3. Step 3: Cross multiply
    31,115.54x = 46,673.07 × 7,741.98
  4. Step 4: Simplify right side
    31,115.54x = 361,341,974.48
  5. Step 5: Solve for x
    x = 361,341,974.48/31,115.54
  6. Step 6: Final answer
    x = 11,612.91

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Why These Related Problems?

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