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Finding the Fourth Proportional to 54,204.94, 74,805.94 and 30,331.40

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Solution

The fourth proportional to 54,204.94, 74,805.94 and 30,331.40 is: 41,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,204.94 : 74,805.94 = 30,331.40 : x
  2. Step 2: Convert to fraction form
    54,204.94/74,805.94 = 30,331.40/x
  3. Step 3: Cross multiply
    54,204.94x = 74,805.94 × 30,331.40
  4. Step 4: Simplify right side
    54,204.94x = 2,268,968,888.52
  5. Step 5: Solve for x
    x = 2,268,968,888.52/54,204.94
  6. Step 6: Final answer
    x = 41,859.08

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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.