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Finding the Fourth Proportional to 80,977.59, 111,754.08 and 44,678.86

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Solution

The fourth proportional to 80,977.59, 111,754.08 and 44,678.86 is: 61,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,977.59 : 111,754.08 = 44,678.86 : x
  2. Step 2: Convert to fraction form
    80,977.59/111,754.08 = 44,678.86/x
  3. Step 3: Cross multiply
    80,977.59x = 111,754.08 × 44,678.86
  4. Step 4: Simplify right side
    80,977.59x = 4,993,044,615.36
  5. Step 5: Solve for x
    x = 4,993,044,615.36/80,977.59
  6. Step 6: Final answer
    x = 61,659.59

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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.