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Finding the Fourth Proportional to 42,105, 58,102.14 and 23,241.96

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Solution

The fourth proportional to 42,105, 58,102.14 and 23,241.96 is: 32,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105 : 58,102.14 = 23,241.96 : x
  2. Step 2: Convert to fraction form
    42,105/58,102.14 = 23,241.96/x
  3. Step 3: Cross multiply
    42,105x = 58,102.14 × 23,241.96
  4. Step 4: Simplify right side
    42,105x = 1,350,407,613.79
  5. Step 5: Solve for x
    x = 1,350,407,613.79/42,105
  6. Step 6: Final answer
    x = 32,072.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.