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Finding the Fourth Proportional to 48,493.60, 72,772.80 and 22,184.80

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Solution

The fourth proportional to 48,493.60, 72,772.80 and 22,184.80 is: 33,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493.60 : 72,772.80 = 22,184.80 : x
  2. Step 2: Convert to fraction form
    48,493.60/72,772.80 = 22,184.80/x
  3. Step 3: Cross multiply
    48,493.60x = 72,772.80 × 22,184.80
  4. Step 4: Simplify right side
    48,493.60x = 1,614,450,013.44
  5. Step 5: Solve for x
    x = 1,614,450,013.44/48,493.60
  6. Step 6: Final answer
    x = 33,292.02

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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.