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Finding the Fourth Proportional to 54,243.63, 74,843.33 and 31,568.90

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Solution

The fourth proportional to 54,243.63, 74,843.33 and 31,568.90 is: 43,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,243.63 : 74,843.33 = 31,568.90 : x
  2. Step 2: Convert to fraction form
    54,243.63/74,843.33 = 31,568.90/x
  3. Step 3: Cross multiply
    54,243.63x = 74,843.33 × 31,568.90
  4. Step 4: Simplify right side
    54,243.63x = 2,362,721,068.38
  5. Step 5: Solve for x
    x = 2,362,721,068.38/54,243.63
  6. Step 6: Final answer
    x = 43,557.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.