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Finding the Fourth Proportional to 35,177.29, 48,546.84 and 23,085

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Solution

The fourth proportional to 35,177.29, 48,546.84 and 23,085 is: 31,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,177.29 : 48,546.84 = 23,085 : x
  2. Step 2: Convert to fraction form
    35,177.29/48,546.84 = 23,085/x
  3. Step 3: Cross multiply
    35,177.29x = 48,546.84 × 23,085
  4. Step 4: Simplify right side
    35,177.29x = 1,120,703,887.97
  5. Step 5: Solve for x
    x = 1,120,703,887.97/35,177.29
  6. Step 6: Final answer
    x = 31,858.74

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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.