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Finding the Fourth Proportional to 47,407.38, 65,420.70 and 25,896.78

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Solution

The fourth proportional to 47,407.38, 65,420.70 and 25,896.78 is: 35,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.38 : 65,420.70 = 25,896.78 : x
  2. Step 2: Convert to fraction form
    47,407.38/65,420.70 = 25,896.78/x
  3. Step 3: Cross multiply
    47,407.38x = 65,420.70 × 25,896.78
  4. Step 4: Simplify right side
    47,407.38x = 1,694,185,475.35
  5. Step 5: Solve for x
    x = 1,694,185,475.35/47,407.38
  6. Step 6: Final answer
    x = 35,736.75

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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.