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Finding the Fourth Proportional to 31,021.68, 46,560.09 and 20,462.16

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Solution

The fourth proportional to 31,021.68, 46,560.09 and 20,462.16 is: 30,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.68 : 46,560.09 = 20,462.16 : x
  2. Step 2: Convert to fraction form
    31,021.68/46,560.09 = 20,462.16/x
  3. Step 3: Cross multiply
    31,021.68x = 46,560.09 × 20,462.16
  4. Step 4: Simplify right side
    31,021.68x = 952,720,011.19
  5. Step 5: Solve for x
    x = 952,720,011.19/31,021.68
  6. Step 6: Final answer
    x = 30,711.43

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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.