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Finding the Fourth Proportional to 47,725.84, 65,850.87 and 29,814.31

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Solution

The fourth proportional to 47,725.84, 65,850.87 and 29,814.31 is: 41,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,725.84 : 65,850.87 = 29,814.31 : x
  2. Step 2: Convert to fraction form
    47,725.84/65,850.87 = 29,814.31/x
  3. Step 3: Cross multiply
    47,725.84x = 65,850.87 × 29,814.31
  4. Step 4: Simplify right side
    47,725.84x = 1,963,298,251.95
  5. Step 5: Solve for x
    x = 1,963,298,251.95/47,725.84
  6. Step 6: Final answer
    x = 41,137.01

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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.