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Finding the Fourth Proportional to 54,090.69, 74,640.12 and 31,429.44

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Solution

The fourth proportional to 54,090.69, 74,640.12 and 31,429.44 is: 43,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,090.69 : 74,640.12 = 31,429.44 : x
  2. Step 2: Convert to fraction form
    54,090.69/74,640.12 = 31,429.44/x
  3. Step 3: Cross multiply
    54,090.69x = 74,640.12 × 31,429.44
  4. Step 4: Simplify right side
    54,090.69x = 2,345,897,173.13
  5. Step 5: Solve for x
    x = 2,345,897,173.13/54,090.69
  6. Step 6: Final answer
    x = 43,369.70

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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.