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Finding the Fourth Proportional to 33,155.31, 45,775 and 23,080.08

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Solution

The fourth proportional to 33,155.31, 45,775 and 23,080.08 is: 31,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.31 : 45,775 = 23,080.08 : x
  2. Step 2: Convert to fraction form
    33,155.31/45,775 = 23,080.08/x
  3. Step 3: Cross multiply
    33,155.31x = 45,775 × 23,080.08
  4. Step 4: Simplify right side
    33,155.31x = 1,056,490,662.00
  5. Step 5: Solve for x
    x = 1,056,490,662.00/33,155.31
  6. Step 6: Final answer
    x = 31,864.90

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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.