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Finding the Fourth Proportional to 31,672.32, 47,494.44 and 16,878.48

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Solution

The fourth proportional to 31,672.32, 47,494.44 and 16,878.48 is: 25,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.32 : 47,494.44 = 16,878.48 : x
  2. Step 2: Convert to fraction form
    31,672.32/47,494.44 = 16,878.48/x
  3. Step 3: Cross multiply
    31,672.32x = 47,494.44 × 16,878.48
  4. Step 4: Simplify right side
    31,672.32x = 801,633,955.65
  5. Step 5: Solve for x
    x = 801,633,955.65/31,672.32
  6. Step 6: Final answer
    x = 25,310.24

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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.