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Finding the Fourth Proportional to 31,108.64, 46,682.32 and 12,640.64

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Solution

The fourth proportional to 31,108.64, 46,682.32 and 12,640.64 is: 18,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.64 : 46,682.32 = 12,640.64 : x
  2. Step 2: Convert to fraction form
    31,108.64/46,682.32 = 12,640.64/x
  3. Step 3: Cross multiply
    31,108.64x = 46,682.32 × 12,640.64
  4. Step 4: Simplify right side
    31,108.64x = 590,094,401.48
  5. Step 5: Solve for x
    x = 590,094,401.48/31,108.64
  6. Step 6: Final answer
    x = 18,968.83

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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.