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Finding the Fourth Proportional to 31,065.38, 42,884.81 and 18,314.56

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Solution

The fourth proportional to 31,065.38, 42,884.81 and 18,314.56 is: 25,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.38 : 42,884.81 = 18,314.56 : x
  2. Step 2: Convert to fraction form
    31,065.38/42,884.81 = 18,314.56/x
  3. Step 3: Cross multiply
    31,065.38x = 42,884.81 × 18,314.56
  4. Step 4: Simplify right side
    31,065.38x = 785,416,425.83
  5. Step 5: Solve for x
    x = 785,416,425.83/31,065.38
  6. Step 6: Final answer
    x = 25,282.69

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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.