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Finding the Fourth Proportional to 32,023.46, 44,193.12 and 20,087.30

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Solution

The fourth proportional to 32,023.46, 44,193.12 and 20,087.30 is: 27,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.46 : 44,193.12 = 20,087.30 : x
  2. Step 2: Convert to fraction form
    32,023.46/44,193.12 = 20,087.30/x
  3. Step 3: Cross multiply
    32,023.46x = 44,193.12 × 20,087.30
  4. Step 4: Simplify right side
    32,023.46x = 887,720,459.38
  5. Step 5: Solve for x
    x = 887,720,459.38/32,023.46
  6. Step 6: Final answer
    x = 27,720.94

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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.