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Finding the Fourth Proportional to 53,764, 74,194.32 and 30,212

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Solution

The fourth proportional to 53,764, 74,194.32 and 30,212 is: 41,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764 : 74,194.32 = 30,212 : x
  2. Step 2: Convert to fraction form
    53,764/74,194.32 = 30,212/x
  3. Step 3: Cross multiply
    53,764x = 74,194.32 × 30,212
  4. Step 4: Simplify right side
    53,764x = 2,241,558,795.84
  5. Step 5: Solve for x
    x = 2,241,558,795.84/53,764
  6. Step 6: Final answer
    x = 41,692.56

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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.