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Finding the Fourth Proportional to 54,299, 74,936.94 and 31,947.32

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Solution

The fourth proportional to 54,299, 74,936.94 and 31,947.32 is: 44,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299 : 74,936.94 = 31,947.32 : x
  2. Step 2: Convert to fraction form
    54,299/74,936.94 = 31,947.32/x
  3. Step 3: Cross multiply
    54,299x = 74,936.94 × 31,947.32
  4. Step 4: Simplify right side
    54,299x = 2,394,034,402.00
  5. Step 5: Solve for x
    x = 2,394,034,402.00/54,299
  6. Step 6: Final answer
    x = 44,089.84

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1.5x scale

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.