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Finding the Fourth Proportional to 77,577.80, 116,337.87 and 27,644.63

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Solution

The fourth proportional to 77,577.80, 116,337.87 and 27,644.63 is: 41,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577.80 : 116,337.87 = 27,644.63 : x
  2. Step 2: Convert to fraction form
    77,577.80/116,337.87 = 27,644.63/x
  3. Step 3: Cross multiply
    77,577.80x = 116,337.87 × 27,644.63
  4. Step 4: Simplify right side
    77,577.80x = 3,216,116,789.45
  5. Step 5: Solve for x
    x = 3,216,116,789.45/77,577.80
  6. Step 6: Final answer
    x = 41,456.67

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Why These Related Problems?

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