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Finding the Fourth Proportional to 96,179.84, 144,270.84 and 29,619.44

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Solution

The fourth proportional to 96,179.84, 144,270.84 and 29,619.44 is: 44,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,179.84 : 144,270.84 = 29,619.44 : x
  2. Step 2: Convert to fraction form
    96,179.84/144,270.84 = 29,619.44/x
  3. Step 3: Cross multiply
    96,179.84x = 144,270.84 × 29,619.44
  4. Step 4: Simplify right side
    96,179.84x = 4,273,221,489.13
  5. Step 5: Solve for x
    x = 4,273,221,489.13/96,179.84
  6. Step 6: Final answer
    x = 44,429.49

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1.5x scale

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.