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Finding the Fourth Proportional to 81,590.59, 122,241.05 and 34,101

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Solution

The fourth proportional to 81,590.59, 122,241.05 and 34,101 is: 51,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590.59 : 122,241.05 = 34,101 : x
  2. Step 2: Convert to fraction form
    81,590.59/122,241.05 = 34,101/x
  3. Step 3: Cross multiply
    81,590.59x = 122,241.05 × 34,101
  4. Step 4: Simplify right side
    81,590.59x = 4,168,542,003.42
  5. Step 5: Solve for x
    x = 4,168,542,003.42/81,590.59
  6. Step 6: Final answer
    x = 51,090.96

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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.