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Finding the Fourth Proportional to 47,696.21, 65,821.03 and 29,801.60

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Solution

The fourth proportional to 47,696.21, 65,821.03 and 29,801.60 is: 41,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.21 : 65,821.03 = 29,801.60 : x
  2. Step 2: Convert to fraction form
    47,696.21/65,821.03 = 29,801.60/x
  3. Step 3: Cross multiply
    47,696.21x = 65,821.03 × 29,801.60
  4. Step 4: Simplify right side
    47,696.21x = 1,961,572,007.65
  5. Step 5: Solve for x
    x = 1,961,572,007.65/47,696.21
  6. Step 6: Final answer
    x = 41,126.37

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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.