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Finding the Fourth Proportional to 80,455.39, 120,684.00 and 24,295.97

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Solution

The fourth proportional to 80,455.39, 120,684.00 and 24,295.97 is: 36,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,455.39 : 120,684.00 = 24,295.97 : x
  2. Step 2: Convert to fraction form
    80,455.39/120,684.00 = 24,295.97/x
  3. Step 3: Cross multiply
    80,455.39x = 120,684.00 × 24,295.97
  4. Step 4: Simplify right side
    80,455.39x = 2,932,134,118.58
  5. Step 5: Solve for x
    x = 2,932,134,118.58/80,455.39
  6. Step 6: Final answer
    x = 36,444.22

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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.