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Finding the Fourth Proportional to 96,774.87, 145,103.31 and 43,456.49

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Solution

The fourth proportional to 96,774.87, 145,103.31 and 43,456.49 is: 65,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.87 : 145,103.31 = 43,456.49 : x
  2. Step 2: Convert to fraction form
    96,774.87/145,103.31 = 43,456.49/x
  3. Step 3: Cross multiply
    96,774.87x = 145,103.31 × 43,456.49
  4. Step 4: Simplify right side
    96,774.87x = 6,305,679,814.47
  5. Step 5: Solve for x
    x = 6,305,679,814.47/96,774.87
  6. Step 6: Final answer
    x = 65,158.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.