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Finding the Fourth Proportional to 64,921.38, 89,594.22 and 36,627

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Solution

The fourth proportional to 64,921.38, 89,594.22 and 36,627 is: 50,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,921.38 : 89,594.22 = 36,627 : x
  2. Step 2: Convert to fraction form
    64,921.38/89,594.22 = 36,627/x
  3. Step 3: Cross multiply
    64,921.38x = 89,594.22 × 36,627
  4. Step 4: Simplify right side
    64,921.38x = 3,281,567,495.94
  5. Step 5: Solve for x
    x = 3,281,567,495.94/64,921.38
  6. Step 6: Final answer
    x = 50,546.79

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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.