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Finding the Fourth Proportional to 96,381, 133,019.78 and 55,537.18

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Solution

The fourth proportional to 96,381, 133,019.78 and 55,537.18 is: 76,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,381 : 133,019.78 = 55,537.18 : x
  2. Step 2: Convert to fraction form
    96,381/133,019.78 = 55,537.18/x
  3. Step 3: Cross multiply
    96,381x = 133,019.78 × 55,537.18
  4. Step 4: Simplify right side
    96,381x = 7,387,543,465.42
  5. Step 5: Solve for x
    x = 7,387,543,465.42/96,381
  6. Step 6: Final answer
    x = 76,649.38

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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.