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Finding the Fourth Proportional to 64,676.62, 97,035.18 and 41,131

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Solution

The fourth proportional to 64,676.62, 97,035.18 and 41,131 is: 61,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676.62 : 97,035.18 = 41,131 : x
  2. Step 2: Convert to fraction form
    64,676.62/97,035.18 = 41,131/x
  3. Step 3: Cross multiply
    64,676.62x = 97,035.18 × 41,131
  4. Step 4: Simplify right side
    64,676.62x = 3,991,153,988.58
  5. Step 5: Solve for x
    x = 3,991,153,988.58/64,676.62
  6. Step 6: Final answer
    x = 61,709.38

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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.