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Finding the Fourth Proportional to 96,497.16, 133,175.90 and 55,662.84

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Solution

The fourth proportional to 96,497.16, 133,175.90 and 55,662.84 is: 76,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,497.16 : 133,175.90 = 55,662.84 : x
  2. Step 2: Convert to fraction form
    96,497.16/133,175.90 = 55,662.84/x
  3. Step 3: Cross multiply
    96,497.16x = 133,175.90 × 55,662.84
  4. Step 4: Simplify right side
    96,497.16x = 7,412,948,813.56
  5. Step 5: Solve for x
    x = 7,412,948,813.56/96,497.16
  6. Step 6: Final answer
    x = 76,820.38

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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.