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Finding the Fourth Proportional to 31,420.16, 43,357.24 and 18,497.38

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Solution

The fourth proportional to 31,420.16, 43,357.24 and 18,497.38 is: 25,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.16 : 43,357.24 = 18,497.38 : x
  2. Step 2: Convert to fraction form
    31,420.16/43,357.24 = 18,497.38/x
  3. Step 3: Cross multiply
    31,420.16x = 43,357.24 × 18,497.38
  4. Step 4: Simplify right side
    31,420.16x = 801,995,421.35
  5. Step 5: Solve for x
    x = 801,995,421.35/31,420.16
  6. Step 6: Final answer
    x = 25,524.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.