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Finding the Fourth Proportional to 31,101.74, 46,652.46 and 8,915.23

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Solution

The fourth proportional to 31,101.74, 46,652.46 and 8,915.23 is: 13,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.74 : 46,652.46 = 8,915.23 : x
  2. Step 2: Convert to fraction form
    31,101.74/46,652.46 = 8,915.23/x
  3. Step 3: Cross multiply
    31,101.74x = 46,652.46 × 8,915.23
  4. Step 4: Simplify right side
    31,101.74x = 415,917,435.85
  5. Step 5: Solve for x
    x = 415,917,435.85/31,101.74
  6. Step 6: Final answer
    x = 13,372.80

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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.