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Finding the Fourth Proportional to 31,378.12, 47,063.73 and 9,191.71

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Solution

The fourth proportional to 31,378.12, 47,063.73 and 9,191.71 is: 13,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.12 : 47,063.73 = 9,191.71 : x
  2. Step 2: Convert to fraction form
    31,378.12/47,063.73 = 9,191.71/x
  3. Step 3: Cross multiply
    31,378.12x = 47,063.73 × 9,191.71
  4. Step 4: Simplify right side
    31,378.12x = 432,596,250.98
  5. Step 5: Solve for x
    x = 432,596,250.98/31,378.12
  6. Step 6: Final answer
    x = 13,786.56

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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.