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Finding the Fourth Proportional to 31,969.68, 47,896.92 and 17,162.88

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Solution

The fourth proportional to 31,969.68, 47,896.92 and 17,162.88 is: 25,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.68 : 47,896.92 = 17,162.88 : x
  2. Step 2: Convert to fraction form
    31,969.68/47,896.92 = 17,162.88/x
  3. Step 3: Cross multiply
    31,969.68x = 47,896.92 × 17,162.88
  4. Step 4: Simplify right side
    31,969.68x = 822,049,090.33
  5. Step 5: Solve for x
    x = 822,049,090.33/31,969.68
  6. Step 6: Final answer
    x = 25,713.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.