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Finding the Fourth Proportional to 54,072, 74,598.48 and 33,920.64

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Solution

The fourth proportional to 54,072, 74,598.48 and 33,920.64 is: 46,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 74,598.48 = 33,920.64 : x
  2. Step 2: Convert to fraction form
    54,072/74,598.48 = 33,920.64/x
  3. Step 3: Cross multiply
    54,072x = 74,598.48 × 33,920.64
  4. Step 4: Simplify right side
    54,072x = 2,530,428,184.63
  5. Step 5: Solve for x
    x = 2,530,428,184.63/54,072
  6. Step 6: Final answer
    x = 46,797.38

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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.