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Finding the Fourth Proportional to 77,637.50, 116,480.85 and 27,716.49

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Solution

The fourth proportional to 77,637.50, 116,480.85 and 27,716.49 is: 41,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,637.50 : 116,480.85 = 27,716.49 : x
  2. Step 2: Convert to fraction form
    77,637.50/116,480.85 = 27,716.49/x
  3. Step 3: Cross multiply
    77,637.50x = 116,480.85 × 27,716.49
  4. Step 4: Simplify right side
    77,637.50x = 3,228,440,210.28
  5. Step 5: Solve for x
    x = 3,228,440,210.28/77,637.50
  6. Step 6: Final answer
    x = 41,583.52

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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.