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Finding the Fourth Proportional to 55,066.50, 75,991.77 and 29,916

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Solution

The fourth proportional to 55,066.50, 75,991.77 and 29,916 is: 41,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,066.50 : 75,991.77 = 29,916 : x
  2. Step 2: Convert to fraction form
    55,066.50/75,991.77 = 29,916/x
  3. Step 3: Cross multiply
    55,066.50x = 75,991.77 × 29,916
  4. Step 4: Simplify right side
    55,066.50x = 2,273,369,791.32
  5. Step 5: Solve for x
    x = 2,273,369,791.32/55,066.50
  6. Step 6: Final answer
    x = 41,284.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.