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Finding the Fourth Proportional to 96,682.57, 133,421.38 and 54,241

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Solution

The fourth proportional to 96,682.57, 133,421.38 and 54,241 is: 74,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,682.57 : 133,421.38 = 54,241 : x
  2. Step 2: Convert to fraction form
    96,682.57/133,421.38 = 54,241/x
  3. Step 3: Cross multiply
    96,682.57x = 133,421.38 × 54,241
  4. Step 4: Simplify right side
    96,682.57x = 7,236,909,072.58
  5. Step 5: Solve for x
    x = 7,236,909,072.58/96,682.57
  6. Step 6: Final answer
    x = 74,852.26

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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.