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Finding the Fourth Proportional to 77,562.99, 116,315.75 and 27,629.82

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Solution

The fourth proportional to 77,562.99, 116,315.75 and 27,629.82 is: 41,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,562.99 : 116,315.75 = 27,629.82 : x
  2. Step 2: Convert to fraction form
    77,562.99/116,315.75 = 27,629.82/x
  3. Step 3: Cross multiply
    77,562.99x = 116,315.75 × 27,629.82
  4. Step 4: Simplify right side
    77,562.99x = 3,213,783,304.74
  5. Step 5: Solve for x
    x = 3,213,783,304.74/77,562.99
  6. Step 6: Final answer
    x = 41,434.49

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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.