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Finding the Fourth Proportional to 36,164.40, 54,181.80 and 32,017.20

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Solution

The fourth proportional to 36,164.40, 54,181.80 and 32,017.20 is: 47,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.40 : 54,181.80 = 32,017.20 : x
  2. Step 2: Convert to fraction form
    36,164.40/54,181.80 = 32,017.20/x
  3. Step 3: Cross multiply
    36,164.40x = 54,181.80 × 32,017.20
  4. Step 4: Simplify right side
    36,164.40x = 1,734,749,526.96
  5. Step 5: Solve for x
    x = 1,734,749,526.96/36,164.40
  6. Step 6: Final answer
    x = 47,968.43

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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.