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Finding the Fourth Proportional to 64,847.73, 97,186.80 and 33,231

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Solution

The fourth proportional to 64,847.73, 97,186.80 and 33,231 is: 49,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,847.73 : 97,186.80 = 33,231 : x
  2. Step 2: Convert to fraction form
    64,847.73/97,186.80 = 33,231/x
  3. Step 3: Cross multiply
    64,847.73x = 97,186.80 × 33,231
  4. Step 4: Simplify right side
    64,847.73x = 3,229,614,550.80
  5. Step 5: Solve for x
    x = 3,229,614,550.80/64,847.73
  6. Step 6: Final answer
    x = 49,803.05

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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.