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Finding the Fourth Proportional to 77,057.44, 115,553.34 and 30,277.50

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Solution

The fourth proportional to 77,057.44, 115,553.34 and 30,277.50 is: 45,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,057.44 : 115,553.34 = 30,277.50 : x
  2. Step 2: Convert to fraction form
    77,057.44/115,553.34 = 30,277.50/x
  3. Step 3: Cross multiply
    77,057.44x = 115,553.34 × 30,277.50
  4. Step 4: Simplify right side
    77,057.44x = 3,498,666,251.85
  5. Step 5: Solve for x
    x = 3,498,666,251.85/77,057.44
  6. Step 6: Final answer
    x = 45,403.35

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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.