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Finding the Fourth Proportional to 31,353.26, 46,964.01 and 25,449.98

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Solution

The fourth proportional to 31,353.26, 46,964.01 and 25,449.98 is: 38,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.26 : 46,964.01 = 25,449.98 : x
  2. Step 2: Convert to fraction form
    31,353.26/46,964.01 = 25,449.98/x
  3. Step 3: Cross multiply
    31,353.26x = 46,964.01 × 25,449.98
  4. Step 4: Simplify right side
    31,353.26x = 1,195,233,115.22
  5. Step 5: Solve for x
    x = 1,195,233,115.22/31,353.26
  6. Step 6: Final answer
    x = 38,121.49

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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.