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Finding the Fourth Proportional to 71,847.63, 99,149.85 and 41,638.77

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Solution

The fourth proportional to 71,847.63, 99,149.85 and 41,638.77 is: 57,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,847.63 : 99,149.85 = 41,638.77 : x
  2. Step 2: Convert to fraction form
    71,847.63/99,149.85 = 41,638.77/x
  3. Step 3: Cross multiply
    71,847.63x = 99,149.85 × 41,638.77
  4. Step 4: Simplify right side
    71,847.63x = 4,128,477,799.68
  5. Step 5: Solve for x
    x = 4,128,477,799.68/71,847.63
  6. Step 6: Final answer
    x = 57,461.57

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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.