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Finding the Fourth Proportional to 96,894.98, 133,714.23 and 54,453.41

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Solution

The fourth proportional to 96,894.98, 133,714.23 and 54,453.41 is: 75,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,894.98 : 133,714.23 = 54,453.41 : x
  2. Step 2: Convert to fraction form
    96,894.98/133,714.23 = 54,453.41/x
  3. Step 3: Cross multiply
    96,894.98x = 133,714.23 × 54,453.41
  4. Step 4: Simplify right side
    96,894.98x = 7,281,195,789.02
  5. Step 5: Solve for x
    x = 7,281,195,789.02/96,894.98
  6. Step 6: Final answer
    x = 75,145.23

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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.