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Finding the Fourth Proportional to 54,342.54, 74,992.70 and 30,469.22

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Solution

The fourth proportional to 54,342.54, 74,992.70 and 30,469.22 is: 42,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,342.54 : 74,992.70 = 30,469.22 : x
  2. Step 2: Convert to fraction form
    54,342.54/74,992.70 = 30,469.22/x
  3. Step 3: Cross multiply
    54,342.54x = 74,992.70 × 30,469.22
  4. Step 4: Simplify right side
    54,342.54x = 2,284,968,547.38
  5. Step 5: Solve for x
    x = 2,284,968,547.38/54,342.54
  6. Step 6: Final answer
    x = 42,047.51

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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.