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Finding the Fourth Proportional to 54,125.28, 74,692.86 and 31,769.28

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Solution

The fourth proportional to 54,125.28, 74,692.86 and 31,769.28 is: 43,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,125.28 : 74,692.86 = 31,769.28 : x
  2. Step 2: Convert to fraction form
    54,125.28/74,692.86 = 31,769.28/x
  3. Step 3: Cross multiply
    54,125.28x = 74,692.86 × 31,769.28
  4. Step 4: Simplify right side
    54,125.28x = 2,372,938,383.34
  5. Step 5: Solve for x
    x = 2,372,938,383.34/54,125.28
  6. Step 6: Final answer
    x = 43,841.59

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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.