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Finding the Fourth Proportional to 77,285.94, 115,907.50 and 27,359.46

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Solution

The fourth proportional to 77,285.94, 115,907.50 and 27,359.46 is: 41,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,285.94 : 115,907.50 = 27,359.46 : x
  2. Step 2: Convert to fraction form
    77,285.94/115,907.50 = 27,359.46/x
  3. Step 3: Cross multiply
    77,285.94x = 115,907.50 × 27,359.46
  4. Step 4: Simplify right side
    77,285.94x = 3,171,166,609.95
  5. Step 5: Solve for x
    x = 3,171,166,609.95/77,285.94
  6. Step 6: Final answer
    x = 41,031.61

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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.