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Finding the Fourth Proportional to 77,539.41, 106,996.38 and 43,551.60

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Solution

The fourth proportional to 77,539.41, 106,996.38 and 43,551.60 is: 60,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,539.41 : 106,996.38 = 43,551.60 : x
  2. Step 2: Convert to fraction form
    77,539.41/106,996.38 = 43,551.60/x
  3. Step 3: Cross multiply
    77,539.41x = 106,996.38 × 43,551.60
  4. Step 4: Simplify right side
    77,539.41x = 4,659,863,543.21
  5. Step 5: Solve for x
    x = 4,659,863,543.21/77,539.41
  6. Step 6: Final answer
    x = 60,096.71

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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.