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Finding the Fourth Proportional to 77,074.27, 115,622.40 and 23,770.73

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Solution

The fourth proportional to 77,074.27, 115,622.40 and 23,770.73 is: 35,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.27 : 115,622.40 = 23,770.73 : x
  2. Step 2: Convert to fraction form
    77,074.27/115,622.40 = 23,770.73/x
  3. Step 3: Cross multiply
    77,074.27x = 115,622.40 × 23,770.73
  4. Step 4: Simplify right side
    77,074.27x = 2,748,428,852.35
  5. Step 5: Solve for x
    x = 2,748,428,852.35/77,074.27
  6. Step 6: Final answer
    x = 35,659.49

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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.