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Finding the Fourth Proportional to 33,116.80, 45,664.11 and 31,017.28

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Solution

The fourth proportional to 33,116.80, 45,664.11 and 31,017.28 is: 42,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116.80 : 45,664.11 = 31,017.28 : x
  2. Step 2: Convert to fraction form
    33,116.80/45,664.11 = 31,017.28/x
  3. Step 3: Cross multiply
    33,116.80x = 45,664.11 × 31,017.28
  4. Step 4: Simplify right side
    33,116.80x = 1,416,376,485.82
  5. Step 5: Solve for x
    x = 1,416,376,485.82/33,116.80
  6. Step 6: Final answer
    x = 42,769.12

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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.