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Finding the Fourth Proportional to 80,932.98, 111,695.68 and 46,951.86

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Solution

The fourth proportional to 80,932.98, 111,695.68 and 46,951.86 is: 64,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,932.98 : 111,695.68 = 46,951.86 : x
  2. Step 2: Convert to fraction form
    80,932.98/111,695.68 = 46,951.86/x
  3. Step 3: Cross multiply
    80,932.98x = 111,695.68 × 46,951.86
  4. Step 4: Simplify right side
    80,932.98x = 5,244,319,695.21
  5. Step 5: Solve for x
    x = 5,244,319,695.21/80,932.98
  6. Step 6: Final answer
    x = 64,798.30

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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.