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Finding the Fourth Proportional to 39,451.76, 54,443.14 and 21,546.77

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Solution

The fourth proportional to 39,451.76, 54,443.14 and 21,546.77 is: 29,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,451.76 : 54,443.14 = 21,546.77 : x
  2. Step 2: Convert to fraction form
    39,451.76/54,443.14 = 21,546.77/x
  3. Step 3: Cross multiply
    39,451.76x = 54,443.14 × 21,546.77
  4. Step 4: Simplify right side
    39,451.76x = 1,173,073,815.66
  5. Step 5: Solve for x
    x = 1,173,073,815.66/39,451.76
  6. Step 6: Final answer
    x = 29,734.38

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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.