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Finding the Fourth Proportional to 95,172.31, 131,278.32 and 61,225

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Solution

The fourth proportional to 95,172.31, 131,278.32 and 61,225 is: 84,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,172.31 : 131,278.32 = 61,225 : x
  2. Step 2: Convert to fraction form
    95,172.31/131,278.32 = 61,225/x
  3. Step 3: Cross multiply
    95,172.31x = 131,278.32 × 61,225
  4. Step 4: Simplify right side
    95,172.31x = 8,037,515,142
  5. Step 5: Solve for x
    x = 8,037,515,142/95,172.31
  6. Step 6: Final answer
    x = 84,452.24

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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.