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Finding the Fourth Proportional to 31,552.64, 47,343 and 16,757.96

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Solution

The fourth proportional to 31,552.64, 47,343 and 16,757.96 is: 25,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.64 : 47,343 = 16,757.96 : x
  2. Step 2: Convert to fraction form
    31,552.64/47,343 = 16,757.96/x
  3. Step 3: Cross multiply
    31,552.64x = 47,343 × 16,757.96
  4. Step 4: Simplify right side
    31,552.64x = 793,372,100.28
  5. Step 5: Solve for x
    x = 793,372,100.28/31,552.64
  6. Step 6: Final answer
    x = 25,144.40

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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.