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Finding the Fourth Proportional to 31,423.95, 43,358.83 and 17,626.72

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Solution

The fourth proportional to 31,423.95, 43,358.83 and 17,626.72 is: 24,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.95 : 43,358.83 = 17,626.72 : x
  2. Step 2: Convert to fraction form
    31,423.95/43,358.83 = 17,626.72/x
  3. Step 3: Cross multiply
    31,423.95x = 43,358.83 × 17,626.72
  4. Step 4: Simplify right side
    31,423.95x = 764,274,064.33
  5. Step 5: Solve for x
    x = 764,274,064.33/31,423.95
  6. Step 6: Final answer
    x = 24,321.39

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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.