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Finding the Fourth Proportional to 96,586.56, 133,284.96 and 54,144

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Solution

The fourth proportional to 96,586.56, 133,284.96 and 54,144 is: 74,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,586.56 : 133,284.96 = 54,144 : x
  2. Step 2: Convert to fraction form
    96,586.56/133,284.96 = 54,144/x
  3. Step 3: Cross multiply
    96,586.56x = 133,284.96 × 54,144
  4. Step 4: Simplify right side
    96,586.56x = 7,216,580,874.24
  5. Step 5: Solve for x
    x = 7,216,580,874.24/96,586.56
  6. Step 6: Final answer
    x = 74,716.20

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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.