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Finding the Fourth Proportional to 110,879.64, 166,437.90 and 47,731.05

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Solution

The fourth proportional to 110,879.64, 166,437.90 and 47,731.05 is: 71,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,879.64 : 166,437.90 = 47,731.05 : x
  2. Step 2: Convert to fraction form
    110,879.64/166,437.90 = 47,731.05/x
  3. Step 3: Cross multiply
    110,879.64x = 166,437.90 × 47,731.05
  4. Step 4: Simplify right side
    110,879.64x = 7,944,255,726.80
  5. Step 5: Solve for x
    x = 7,944,255,726.80/110,879.64
  6. Step 6: Final answer
    x = 71,647.56

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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.