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Finding the Fourth Proportional to 31,447.68, 47,170.80 and 9,260.48

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Solution

The fourth proportional to 31,447.68, 47,170.80 and 9,260.48 is: 13,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.68 : 47,170.80 = 9,260.48 : x
  2. Step 2: Convert to fraction form
    31,447.68/47,170.80 = 9,260.48/x
  3. Step 3: Cross multiply
    31,447.68x = 47,170.80 × 9,260.48
  4. Step 4: Simplify right side
    31,447.68x = 436,824,249.98
  5. Step 5: Solve for x
    x = 436,824,249.98/31,447.68
  6. Step 6: Final answer
    x = 13,890.51

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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.