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Finding the Fourth Proportional to 47,629.92, 65,728.68 and 26,409.60

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Solution

The fourth proportional to 47,629.92, 65,728.68 and 26,409.60 is: 36,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,629.92 : 65,728.68 = 26,409.60 : x
  2. Step 2: Convert to fraction form
    47,629.92/65,728.68 = 26,409.60/x
  3. Step 3: Cross multiply
    47,629.92x = 65,728.68 × 26,409.60
  4. Step 4: Simplify right side
    47,629.92x = 1,735,868,147.33
  5. Step 5: Solve for x
    x = 1,735,868,147.33/47,629.92
  6. Step 6: Final answer
    x = 36,444.91

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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.