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Finding the Fourth Proportional to 32,141.82, 48,207.78 and 8,770.08

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Solution

The fourth proportional to 32,141.82, 48,207.78 and 8,770.08 is: 13,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.82 : 48,207.78 = 8,770.08 : x
  2. Step 2: Convert to fraction form
    32,141.82/48,207.78 = 8,770.08/x
  3. Step 3: Cross multiply
    32,141.82x = 48,207.78 × 8,770.08
  4. Step 4: Simplify right side
    32,141.82x = 422,786,087.22
  5. Step 5: Solve for x
    x = 422,786,087.22/32,141.82
  6. Step 6: Final answer
    x = 13,153.77

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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.