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Finding the Fourth Proportional to 96,412.80, 144,619.20 and 34,083.30

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Solution

The fourth proportional to 96,412.80, 144,619.20 and 34,083.30 is: 51,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.80 : 144,619.20 = 34,083.30 : x
  2. Step 2: Convert to fraction form
    96,412.80/144,619.20 = 34,083.30/x
  3. Step 3: Cross multiply
    96,412.80x = 144,619.20 × 34,083.30
  4. Step 4: Simplify right side
    96,412.80x = 4,929,099,579.36
  5. Step 5: Solve for x
    x = 4,929,099,579.36/96,412.80
  6. Step 6: Final answer
    x = 51,124.95

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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.