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Finding the Fourth Proportional to 31,720.68, 47,577.15 and 8,348.94

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Solution

The fourth proportional to 31,720.68, 47,577.15 and 8,348.94 is: 12,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.68 : 47,577.15 = 8,348.94 : x
  2. Step 2: Convert to fraction form
    31,720.68/47,577.15 = 8,348.94/x
  3. Step 3: Cross multiply
    31,720.68x = 47,577.15 × 8,348.94
  4. Step 4: Simplify right side
    31,720.68x = 397,218,770.72
  5. Step 5: Solve for x
    x = 397,218,770.72/31,720.68
  6. Step 6: Final answer
    x = 12,522.39

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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.