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Finding the Fourth Proportional to 31,877.96, 47,817 and 13,168.64

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Solution

The fourth proportional to 31,877.96, 47,817 and 13,168.64 is: 19,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.96 : 47,817 = 13,168.64 : x
  2. Step 2: Convert to fraction form
    31,877.96/47,817 = 13,168.64/x
  3. Step 3: Cross multiply
    31,877.96x = 47,817 × 13,168.64
  4. Step 4: Simplify right side
    31,877.96x = 629,684,858.88
  5. Step 5: Solve for x
    x = 629,684,858.88/31,877.96
  6. Step 6: Final answer
    x = 19,752.98

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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.