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Finding the Fourth Proportional to 96,227.12, 144,337.44 and 33,896

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Solution

The fourth proportional to 96,227.12, 144,337.44 and 33,896 is: 50,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,227.12 : 144,337.44 = 33,896 : x
  2. Step 2: Convert to fraction form
    96,227.12/144,337.44 = 33,896/x
  3. Step 3: Cross multiply
    96,227.12x = 144,337.44 × 33,896
  4. Step 4: Simplify right side
    96,227.12x = 4,892,461,866.24
  5. Step 5: Solve for x
    x = 4,892,461,866.24/96,227.12
  6. Step 6: Final answer
    x = 50,842.86

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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.