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Finding the Fourth Proportional to 47,703.56, 65,843.76 and 29,787.80

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Solution

The fourth proportional to 47,703.56, 65,843.76 and 29,787.80 is: 41,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.56 : 65,843.76 = 29,787.80 : x
  2. Step 2: Convert to fraction form
    47,703.56/65,843.76 = 29,787.80/x
  3. Step 3: Cross multiply
    47,703.56x = 65,843.76 × 29,787.80
  4. Step 4: Simplify right side
    47,703.56x = 1,961,340,754.13
  5. Step 5: Solve for x
    x = 1,961,340,754.13/47,703.56
  6. Step 6: Final answer
    x = 41,115.19

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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.