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Finding the Fourth Proportional to 77,480.74, 116,277.14 and 27,561.25

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Solution

The fourth proportional to 77,480.74, 116,277.14 and 27,561.25 is: 41,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,480.74 : 116,277.14 = 27,561.25 : x
  2. Step 2: Convert to fraction form
    77,480.74/116,277.14 = 27,561.25/x
  3. Step 3: Cross multiply
    77,480.74x = 116,277.14 × 27,561.25
  4. Step 4: Simplify right side
    77,480.74x = 3,204,743,187.02
  5. Step 5: Solve for x
    x = 3,204,743,187.02/77,480.74
  6. Step 6: Final answer
    x = 41,361.80

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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.