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Finding the Fourth Proportional to 97,136.96, 145,676.64 and 41,720

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Solution

The fourth proportional to 97,136.96, 145,676.64 and 41,720 is: 62,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136.96 : 145,676.64 = 41,720 : x
  2. Step 2: Convert to fraction form
    97,136.96/145,676.64 = 41,720/x
  3. Step 3: Cross multiply
    97,136.96x = 145,676.64 × 41,720
  4. Step 4: Simplify right side
    97,136.96x = 6,077,629,420.80
  5. Step 5: Solve for x
    x = 6,077,629,420.80/97,136.96
  6. Step 6: Final answer
    x = 62,567.63

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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.