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Finding the Fourth Proportional to 57,781.80, 86,672.70 and 28,204.20

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Solution

The fourth proportional to 57,781.80, 86,672.70 and 28,204.20 is: 42,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.80 : 86,672.70 = 28,204.20 : x
  2. Step 2: Convert to fraction form
    57,781.80/86,672.70 = 28,204.20/x
  3. Step 3: Cross multiply
    57,781.80x = 86,672.70 × 28,204.20
  4. Step 4: Simplify right side
    57,781.80x = 2,444,534,165.34
  5. Step 5: Solve for x
    x = 2,444,534,165.34/57,781.80
  6. Step 6: Final answer
    x = 42,306.30

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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.