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Finding the Fourth Proportional to 54,112.51, 74,673.88 and 30,239.38

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Solution

The fourth proportional to 54,112.51, 74,673.88 and 30,239.38 is: 41,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,112.51 : 74,673.88 = 30,239.38 : x
  2. Step 2: Convert to fraction form
    54,112.51/74,673.88 = 30,239.38/x
  3. Step 3: Cross multiply
    54,112.51x = 74,673.88 × 30,239.38
  4. Step 4: Simplify right side
    54,112.51x = 2,258,091,833.39
  5. Step 5: Solve for x
    x = 2,258,091,833.39/54,112.51
  6. Step 6: Final answer
    x = 41,729.57

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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.