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Finding the Fourth Proportional to 43,463.54, 65,200.80 and 12,298.80

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Solution

The fourth proportional to 43,463.54, 65,200.80 and 12,298.80 is: 18,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463.54 : 65,200.80 = 12,298.80 : x
  2. Step 2: Convert to fraction form
    43,463.54/65,200.80 = 12,298.80/x
  3. Step 3: Cross multiply
    43,463.54x = 65,200.80 × 12,298.80
  4. Step 4: Simplify right side
    43,463.54x = 801,891,599.04
  5. Step 5: Solve for x
    x = 801,891,599.04/43,463.54
  6. Step 6: Final answer
    x = 18,449.75

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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.