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Finding the Fourth Proportional to 36,684.42, 54,972.69 and 21,676.11

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Solution

The fourth proportional to 36,684.42, 54,972.69 and 21,676.11 is: 32,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,684.42 : 54,972.69 = 21,676.11 : x
  2. Step 2: Convert to fraction form
    36,684.42/54,972.69 = 21,676.11/x
  3. Step 3: Cross multiply
    36,684.42x = 54,972.69 × 21,676.11
  4. Step 4: Simplify right side
    36,684.42x = 1,191,594,075.44
  5. Step 5: Solve for x
    x = 1,191,594,075.44/36,684.42
  6. Step 6: Final answer
    x = 32,482.29

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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.