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Finding the Fourth Proportional to 33,078.46, 45,648.50 and 17,971.12

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Solution

The fourth proportional to 33,078.46, 45,648.50 and 17,971.12 is: 24,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.46 : 45,648.50 = 17,971.12 : x
  2. Step 2: Convert to fraction form
    33,078.46/45,648.50 = 17,971.12/x
  3. Step 3: Cross multiply
    33,078.46x = 45,648.50 × 17,971.12
  4. Step 4: Simplify right side
    33,078.46x = 820,354,626.39
  5. Step 5: Solve for x
    x = 820,354,626.39/33,078.46
  6. Step 6: Final answer
    x = 24,800.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.