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Finding the Fourth Proportional to 77,027.63, 106,260.20 and 51,539.68

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Solution

The fourth proportional to 77,027.63, 106,260.20 and 51,539.68 is: 71,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027.63 : 106,260.20 = 51,539.68 : x
  2. Step 2: Convert to fraction form
    77,027.63/106,260.20 = 51,539.68/x
  3. Step 3: Cross multiply
    77,027.63x = 106,260.20 × 51,539.68
  4. Step 4: Simplify right side
    77,027.63x = 5,476,616,704.74
  5. Step 5: Solve for x
    x = 5,476,616,704.74/77,027.63
  6. Step 6: Final answer
    x = 71,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.