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Finding the Fourth Proportional to 110,711.63, 166,095.26 and 31,826

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Solution

The fourth proportional to 110,711.63, 166,095.26 and 31,826 is: 47,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711.63 : 166,095.26 = 31,826 : x
  2. Step 2: Convert to fraction form
    110,711.63/166,095.26 = 31,826/x
  3. Step 3: Cross multiply
    110,711.63x = 166,095.26 × 31,826
  4. Step 4: Simplify right side
    110,711.63x = 5,286,147,744.76
  5. Step 5: Solve for x
    x = 5,286,147,744.76/110,711.63
  6. Step 6: Final answer
    x = 47,747.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.