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Finding the Fourth Proportional to 96,272.30, 144,479.41 and 45,671.49

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Solution

The fourth proportional to 96,272.30, 144,479.41 and 45,671.49 is: 68,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,272.30 : 144,479.41 = 45,671.49 : x
  2. Step 2: Convert to fraction form
    96,272.30/144,479.41 = 45,671.49/x
  3. Step 3: Cross multiply
    96,272.30x = 144,479.41 × 45,671.49
  4. Step 4: Simplify right side
    96,272.30x = 6,598,589,929.02
  5. Step 5: Solve for x
    x = 6,598,589,929.02/96,272.30
  6. Step 6: Final answer
    x = 68,540.90

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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.