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Finding the Fourth Proportional to 48,024.60, 71,984.10 and 16,843.80

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Solution

The fourth proportional to 48,024.60, 71,984.10 and 16,843.80 is: 25,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024.60 : 71,984.10 = 16,843.80 : x
  2. Step 2: Convert to fraction form
    48,024.60/71,984.10 = 16,843.80/x
  3. Step 3: Cross multiply
    48,024.60x = 71,984.10 × 16,843.80
  4. Step 4: Simplify right side
    48,024.60x = 1,212,485,783.58
  5. Step 5: Solve for x
    x = 1,212,485,783.58/48,024.60
  6. Step 6: Final answer
    x = 25,247.18

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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.