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Finding the Fourth Proportional to 76,162.14, 114,266.70 and 34,077.51

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Solution

The fourth proportional to 76,162.14, 114,266.70 and 34,077.51 is: 51,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,162.14 : 114,266.70 = 34,077.51 : x
  2. Step 2: Convert to fraction form
    76,162.14/114,266.70 = 34,077.51/x
  3. Step 3: Cross multiply
    76,162.14x = 114,266.70 × 34,077.51
  4. Step 4: Simplify right side
    76,162.14x = 3,893,924,611.92
  5. Step 5: Solve for x
    x = 3,893,924,611.92/76,162.14
  6. Step 6: Final answer
    x = 51,126.78

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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.