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Finding the Fourth Proportional to 76,258.44, 114,411.42 and 34,174.49

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Solution

The fourth proportional to 76,258.44, 114,411.42 and 34,174.49 is: 51,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258.44 : 114,411.42 = 34,174.49 : x
  2. Step 2: Convert to fraction form
    76,258.44/114,411.42 = 34,174.49/x
  3. Step 3: Cross multiply
    76,258.44x = 114,411.42 × 34,174.49
  4. Step 4: Simplify right side
    76,258.44x = 3,909,951,356.62
  5. Step 5: Solve for x
    x = 3,909,951,356.62/76,258.44
  6. Step 6: Final answer
    x = 51,272.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.