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Finding the Fourth Proportional to 31,548.38, 43,448.18 and 30,859.48

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Solution

The fourth proportional to 31,548.38, 43,448.18 and 30,859.48 is: 42,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.38 : 43,448.18 = 30,859.48 : x
  2. Step 2: Convert to fraction form
    31,548.38/43,448.18 = 30,859.48/x
  3. Step 3: Cross multiply
    31,548.38x = 43,448.18 × 30,859.48
  4. Step 4: Simplify right side
    31,548.38x = 1,340,787,870.21
  5. Step 5: Solve for x
    x = 1,340,787,870.21/31,548.38
  6. Step 6: Final answer
    x = 42,499.42

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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.