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Finding the Fourth Proportional to 96,837.38, 133,642.40 and 54,395.94

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Solution

The fourth proportional to 96,837.38, 133,642.40 and 54,395.94 is: 75,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,837.38 : 133,642.40 = 54,395.94 : x
  2. Step 2: Convert to fraction form
    96,837.38/133,642.40 = 54,395.94/x
  3. Step 3: Cross multiply
    96,837.38x = 133,642.40 × 54,395.94
  4. Step 4: Simplify right side
    96,837.38x = 7,269,603,699.88
  5. Step 5: Solve for x
    x = 7,269,603,699.88/96,837.38
  6. Step 6: Final answer
    x = 75,070.23

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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.