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Finding the Fourth Proportional to 80,220, 120,336.48 and 24,816

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Solution

The fourth proportional to 80,220, 120,336.48 and 24,816 is: 37,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,220 : 120,336.48 = 24,816 : x
  2. Step 2: Convert to fraction form
    80,220/120,336.48 = 24,816/x
  3. Step 3: Cross multiply
    80,220x = 120,336.48 × 24,816
  4. Step 4: Simplify right side
    80,220x = 2,986,270,087.68
  5. Step 5: Solve for x
    x = 2,986,270,087.68/80,220
  6. Step 6: Final answer
    x = 37,226.00

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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.