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Finding the Fourth Proportional to 47,696.50, 65,821.41 and 29,801.87

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Solution

The fourth proportional to 47,696.50, 65,821.41 and 29,801.87 is: 41,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.50 : 65,821.41 = 29,801.87 : x
  2. Step 2: Convert to fraction form
    47,696.50/65,821.41 = 29,801.87/x
  3. Step 3: Cross multiply
    47,696.50x = 65,821.41 × 29,801.87
  4. Step 4: Simplify right side
    47,696.50x = 1,961,601,268.59
  5. Step 5: Solve for x
    x = 1,961,601,268.59/47,696.50
  6. Step 6: Final answer
    x = 41,126.74

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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.