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Finding the Fourth Proportional to 96,225.60, 144,301.49 and 33,033.94

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Solution

The fourth proportional to 96,225.60, 144,301.49 and 33,033.94 is: 49,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,225.60 : 144,301.49 = 33,033.94 : x
  2. Step 2: Convert to fraction form
    96,225.60/144,301.49 = 33,033.94/x
  3. Step 3: Cross multiply
    96,225.60x = 144,301.49 × 33,033.94
  4. Step 4: Simplify right side
    96,225.60x = 4,766,846,845.16
  5. Step 5: Solve for x
    x = 4,766,846,845.16/96,225.60
  6. Step 6: Final answer
    x = 49,538.24

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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.