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Finding the Fourth Proportional to 64,629.43, 89,187.03 and 35,949

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Solution

The fourth proportional to 64,629.43, 89,187.03 and 35,949 is: 49,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,629.43 : 89,187.03 = 35,949 : x
  2. Step 2: Convert to fraction form
    64,629.43/89,187.03 = 35,949/x
  3. Step 3: Cross multiply
    64,629.43x = 89,187.03 × 35,949
  4. Step 4: Simplify right side
    64,629.43x = 3,206,184,541.47
  5. Step 5: Solve for x
    x = 3,206,184,541.47/64,629.43
  6. Step 6: Final answer
    x = 49,608.74

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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.