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Finding the Fourth Proportional to 96,511.38, 133,191.17 and 54,083.58

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Solution

The fourth proportional to 96,511.38, 133,191.17 and 54,083.58 is: 74,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,511.38 : 133,191.17 = 54,083.58 : x
  2. Step 2: Convert to fraction form
    96,511.38/133,191.17 = 54,083.58/x
  3. Step 3: Cross multiply
    96,511.38x = 133,191.17 × 54,083.58
  4. Step 4: Simplify right side
    96,511.38x = 7,203,455,297.99
  5. Step 5: Solve for x
    x = 7,203,455,297.99/96,511.38
  6. Step 6: Final answer
    x = 74,638.40

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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.