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Finding the Fourth Proportional to 96,473.82, 133,137.98 and 56,181.09

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Solution

The fourth proportional to 96,473.82, 133,137.98 and 56,181.09 is: 77,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,473.82 : 133,137.98 = 56,181.09 : x
  2. Step 2: Convert to fraction form
    96,473.82/133,137.98 = 56,181.09/x
  3. Step 3: Cross multiply
    96,473.82x = 133,137.98 × 56,181.09
  4. Step 4: Simplify right side
    96,473.82x = 7,479,836,836.80
  5. Step 5: Solve for x
    x = 7,479,836,836.80/96,473.82
  6. Step 6: Final answer
    x = 77,532.30

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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.