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Finding the Fourth Proportional to 31,108.14, 46,652.64 and 8,915.57

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Solution

The fourth proportional to 31,108.14, 46,652.64 and 8,915.57 is: 13,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.14 : 46,652.64 = 8,915.57 : x
  2. Step 2: Convert to fraction form
    31,108.14/46,652.64 = 8,915.57/x
  3. Step 3: Cross multiply
    31,108.14x = 46,652.64 × 8,915.57
  4. Step 4: Simplify right side
    31,108.14x = 415,934,877.60
  5. Step 5: Solve for x
    x = 415,934,877.60/31,108.14
  6. Step 6: Final answer
    x = 13,370.61

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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.