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Finding the Fourth Proportional to 54,692.74, 75,494.73 and 32,039

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Solution

The fourth proportional to 54,692.74, 75,494.73 and 32,039 is: 44,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.74 : 75,494.73 = 32,039 : x
  2. Step 2: Convert to fraction form
    54,692.74/75,494.73 = 32,039/x
  3. Step 3: Cross multiply
    54,692.74x = 75,494.73 × 32,039
  4. Step 4: Simplify right side
    54,692.74x = 2,418,775,654.47
  5. Step 5: Solve for x
    x = 2,418,775,654.47/54,692.74
  6. Step 6: Final answer
    x = 44,224.80

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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.