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Finding the Fourth Proportional to 71,487.63, 107,161.72 and 34,037.64

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Solution

The fourth proportional to 71,487.63, 107,161.72 and 34,037.64 is: 51,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487.63 : 107,161.72 = 34,037.64 : x
  2. Step 2: Convert to fraction form
    71,487.63/107,161.72 = 34,037.64/x
  3. Step 3: Cross multiply
    71,487.63x = 107,161.72 × 34,037.64
  4. Step 4: Simplify right side
    71,487.63x = 3,647,531,962.05
  5. Step 5: Solve for x
    x = 3,647,531,962.05/71,487.63
  6. Step 6: Final answer
    x = 51,023.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.