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Finding the Fourth Proportional to 57,770.80, 86,648.10 and 18,331.90

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Solution

The fourth proportional to 57,770.80, 86,648.10 and 18,331.90 is: 27,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770.80 : 86,648.10 = 18,331.90 : x
  2. Step 2: Convert to fraction form
    57,770.80/86,648.10 = 18,331.90/x
  3. Step 3: Cross multiply
    57,770.80x = 86,648.10 × 18,331.90
  4. Step 4: Simplify right side
    57,770.80x = 1,588,424,304.39
  5. Step 5: Solve for x
    x = 1,588,424,304.39/57,770.80
  6. Step 6: Final answer
    x = 27,495.28

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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.