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Finding the Fourth Proportional to 54,692.60, 75,481.88 and 34,548.51

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Solution

The fourth proportional to 54,692.60, 75,481.88 and 34,548.51 is: 47,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.60 : 75,481.88 = 34,548.51 : x
  2. Step 2: Convert to fraction form
    54,692.60/75,481.88 = 34,548.51/x
  3. Step 3: Cross multiply
    54,692.60x = 75,481.88 × 34,548.51
  4. Step 4: Simplify right side
    54,692.60x = 2,607,786,313.26
  5. Step 5: Solve for x
    x = 2,607,786,313.26/54,692.60
  6. Step 6: Final answer
    x = 47,680.79

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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.