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Finding the Fourth Proportional to 42,100, 58,091.38 and 24,191.54

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Solution

The fourth proportional to 42,100, 58,091.38 and 24,191.54 is: 33,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,100 : 58,091.38 = 24,191.54 : x
  2. Step 2: Convert to fraction form
    42,100/58,091.38 = 24,191.54/x
  3. Step 3: Cross multiply
    42,100x = 58,091.38 × 24,191.54
  4. Step 4: Simplify right side
    42,100x = 1,405,319,942.93
  5. Step 5: Solve for x
    x = 1,405,319,942.93/42,100
  6. Step 6: Final answer
    x = 33,380.52

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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.