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Finding the Fourth Proportional to 51,471.88, 77,107.27 and 35,458.59

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Solution

The fourth proportional to 51,471.88, 77,107.27 and 35,458.59 is: 53,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471.88 : 77,107.27 = 35,458.59 : x
  2. Step 2: Convert to fraction form
    51,471.88/77,107.27 = 35,458.59/x
  3. Step 3: Cross multiply
    51,471.88x = 77,107.27 × 35,458.59
  4. Step 4: Simplify right side
    51,471.88x = 2,734,114,819.57
  5. Step 5: Solve for x
    x = 2,734,114,819.57/51,471.88
  6. Step 6: Final answer
    x = 53,118.61

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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.