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Finding the Fourth Proportional to 58,077, 80,133.91 and 34,194.96

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Solution

The fourth proportional to 58,077, 80,133.91 and 34,194.96 is: 47,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,077 : 80,133.91 = 34,194.96 : x
  2. Step 2: Convert to fraction form
    58,077/80,133.91 = 34,194.96/x
  3. Step 3: Cross multiply
    58,077x = 80,133.91 × 34,194.96
  4. Step 4: Simplify right side
    58,077x = 2,740,175,761.61
  5. Step 5: Solve for x
    x = 2,740,175,761.61/58,077
  6. Step 6: Final answer
    x = 47,181.77

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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.