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Finding the Fourth Proportional to 54,309.60, 74,949.30 and 31,663.17

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Solution

The fourth proportional to 54,309.60, 74,949.30 and 31,663.17 is: 43,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,309.60 : 74,949.30 = 31,663.17 : x
  2. Step 2: Convert to fraction form
    54,309.60/74,949.30 = 31,663.17/x
  3. Step 3: Cross multiply
    54,309.60x = 74,949.30 × 31,663.17
  4. Step 4: Simplify right side
    54,309.60x = 2,373,132,427.28
  5. Step 5: Solve for x
    x = 2,373,132,427.28/54,309.60
  6. Step 6: Final answer
    x = 43,696.37

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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.