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Finding the Fourth Proportional to 77,077.20, 115,615.80 and 21,673.20

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Solution

The fourth proportional to 77,077.20, 115,615.80 and 21,673.20 is: 32,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,077.20 : 115,615.80 = 21,673.20 : x
  2. Step 2: Convert to fraction form
    77,077.20/115,615.80 = 21,673.20/x
  3. Step 3: Cross multiply
    77,077.20x = 115,615.80 × 21,673.20
  4. Step 4: Simplify right side
    77,077.20x = 2,505,764,356.56
  5. Step 5: Solve for x
    x = 2,505,764,356.56/77,077.20
  6. Step 6: Final answer
    x = 32,509.80

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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.