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Finding the Fourth Proportional to 31,900.64, 44,021.48 and 18,471.20

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Solution

The fourth proportional to 31,900.64, 44,021.48 and 18,471.20 is: 25,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.64 : 44,021.48 = 18,471.20 : x
  2. Step 2: Convert to fraction form
    31,900.64/44,021.48 = 18,471.20/x
  3. Step 3: Cross multiply
    31,900.64x = 44,021.48 × 18,471.20
  4. Step 4: Simplify right side
    31,900.64x = 813,129,561.38
  5. Step 5: Solve for x
    x = 813,129,561.38/31,900.64
  6. Step 6: Final answer
    x = 25,489.44

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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.