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Finding the Fourth Proportional to 31,512, 43,487.10 and 20,353.44

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Solution

The fourth proportional to 31,512, 43,487.10 and 20,353.44 is: 28,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512 : 43,487.10 = 20,353.44 : x
  2. Step 2: Convert to fraction form
    31,512/43,487.10 = 20,353.44/x
  3. Step 3: Cross multiply
    31,512x = 43,487.10 × 20,353.44
  4. Step 4: Simplify right side
    31,512x = 885,112,080.62
  5. Step 5: Solve for x
    x = 885,112,080.62/31,512
  6. Step 6: Final answer
    x = 28,088.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.