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Finding the Fourth Proportional to 96,615.20, 144,922.80 and 54,624.80

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Solution

The fourth proportional to 96,615.20, 144,922.80 and 54,624.80 is: 81,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,615.20 : 144,922.80 = 54,624.80 : x
  2. Step 2: Convert to fraction form
    96,615.20/144,922.80 = 54,624.80/x
  3. Step 3: Cross multiply
    96,615.20x = 144,922.80 × 54,624.80
  4. Step 4: Simplify right side
    96,615.20x = 7,916,378,965.44
  5. Step 5: Solve for x
    x = 7,916,378,965.44/96,615.20
  6. Step 6: Final answer
    x = 81,937.20

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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.