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Finding the Fourth Proportional to 75,118.43, 112,692.66 and 27,733.80

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Solution

The fourth proportional to 75,118.43, 112,692.66 and 27,733.80 is: 41,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118.43 : 112,692.66 = 27,733.80 : x
  2. Step 2: Convert to fraction form
    75,118.43/112,692.66 = 27,733.80/x
  3. Step 3: Cross multiply
    75,118.43x = 112,692.66 × 27,733.80
  4. Step 4: Simplify right side
    75,118.43x = 3,125,395,693.91
  5. Step 5: Solve for x
    x = 3,125,395,693.91/75,118.43
  6. Step 6: Final answer
    x = 41,606.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.