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Finding the Fourth Proportional to 64,546.25, 89,078.37 and 36,251.96

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Solution

The fourth proportional to 64,546.25, 89,078.37 and 36,251.96 is: 50,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546.25 : 89,078.37 = 36,251.96 : x
  2. Step 2: Convert to fraction form
    64,546.25/89,078.37 = 36,251.96/x
  3. Step 3: Cross multiply
    64,546.25x = 89,078.37 × 36,251.96
  4. Step 4: Simplify right side
    64,546.25x = 3,229,265,506.11
  5. Step 5: Solve for x
    x = 3,229,265,506.11/64,546.25
  6. Step 6: Final answer
    x = 50,030.26

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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.