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Finding the Fourth Proportional to 31,657.90, 47,472.99 and 15,022.67

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Solution

The fourth proportional to 31,657.90, 47,472.99 and 15,022.67 is: 22,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.90 : 47,472.99 = 15,022.67 : x
  2. Step 2: Convert to fraction form
    31,657.90/47,472.99 = 15,022.67/x
  3. Step 3: Cross multiply
    31,657.90x = 47,472.99 × 15,022.67
  4. Step 4: Simplify right side
    31,657.90x = 713,171,062.68
  5. Step 5: Solve for x
    x = 713,171,062.68/31,657.90
  6. Step 6: Final answer
    x = 22,527.43

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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.