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Finding the Fourth Proportional to 47,698.32, 65,793.24 and 37,623.48

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Solution

The fourth proportional to 47,698.32, 65,793.24 and 37,623.48 is: 51,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.32 : 65,793.24 = 37,623.48 : x
  2. Step 2: Convert to fraction form
    47,698.32/65,793.24 = 37,623.48/x
  3. Step 3: Cross multiply
    47,698.32x = 65,793.24 × 37,623.48
  4. Step 4: Simplify right side
    47,698.32x = 2,475,370,649.28
  5. Step 5: Solve for x
    x = 2,475,370,649.28/47,698.32
  6. Step 6: Final answer
    x = 51,896.39

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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.