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Finding the Fourth Proportional to 54,843.34, 75,684.05 and 29,692.84

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Solution

The fourth proportional to 54,843.34, 75,684.05 and 29,692.84 is: 40,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.34 : 75,684.05 = 29,692.84 : x
  2. Step 2: Convert to fraction form
    54,843.34/75,684.05 = 29,692.84/x
  3. Step 3: Cross multiply
    54,843.34x = 75,684.05 × 29,692.84
  4. Step 4: Simplify right side
    54,843.34x = 2,247,274,238.74
  5. Step 5: Solve for x
    x = 2,247,274,238.74/54,843.34
  6. Step 6: Final answer
    x = 40,976.25

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1.5x scale

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.