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Finding the Fourth Proportional to 32,173.32, 44,408.04 and 22,615.32

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Solution

The fourth proportional to 32,173.32, 44,408.04 and 22,615.32 is: 31,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,173.32 : 44,408.04 = 22,615.32 : x
  2. Step 2: Convert to fraction form
    32,173.32/44,408.04 = 22,615.32/x
  3. Step 3: Cross multiply
    32,173.32x = 44,408.04 × 22,615.32
  4. Step 4: Simplify right side
    32,173.32x = 1,004,302,035.17
  5. Step 5: Solve for x
    x = 1,004,302,035.17/32,173.32
  6. Step 6: Final answer
    x = 31,215.37

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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.